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Finding the Fourth Proportional to 3,762.75, 5,193.21 and 3,596.64

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Solution

The fourth proportional to 3,762.75, 5,193.21 and 3,596.64 is: 4,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.75 : 5,193.21 = 3,596.64 : x
  2. Step 2: Convert to fraction form
    3,762.75/5,193.21 = 3,596.64/x
  3. Step 3: Cross multiply
    3,762.75x = 5,193.21 × 3,596.64
  4. Step 4: Simplify right side
    3,762.75x = 18,678,106.81
  5. Step 5: Solve for x
    x = 18,678,106.81/3,762.75
  6. Step 6: Final answer
    x = 4,963.95

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.