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Finding the Fourth Proportional to 3,841.75, 5,762.64 and 1,105.75

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Solution

The fourth proportional to 3,841.75, 5,762.64 and 1,105.75 is: 1,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.75 : 5,762.64 = 1,105.75 : x
  2. Step 2: Convert to fraction form
    3,841.75/5,762.64 = 1,105.75/x
  3. Step 3: Cross multiply
    3,841.75x = 5,762.64 × 1,105.75
  4. Step 4: Simplify right side
    3,841.75x = 6,372,039.18
  5. Step 5: Solve for x
    x = 6,372,039.18/3,841.75
  6. Step 6: Final answer
    x = 1,658.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.