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Finding the Fourth Proportional to 4,596.70, 6,334.05 and 3,802.90

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Solution

The fourth proportional to 4,596.70, 6,334.05 and 3,802.90 is: 5,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.70 : 6,334.05 = 3,802.90 : x
  2. Step 2: Convert to fraction form
    4,596.70/6,334.05 = 3,802.90/x
  3. Step 3: Cross multiply
    4,596.70x = 6,334.05 × 3,802.90
  4. Step 4: Simplify right side
    4,596.70x = 24,087,758.75
  5. Step 5: Solve for x
    x = 24,087,758.75/4,596.70
  6. Step 6: Final answer
    x = 5,240.23

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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.