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Finding the Fourth Proportional to 4,713.32, 6,496.92 and 3,766.13

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Solution

The fourth proportional to 4,713.32, 6,496.92 and 3,766.13 is: 5,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.32 : 6,496.92 = 3,766.13 : x
  2. Step 2: Convert to fraction form
    4,713.32/6,496.92 = 3,766.13/x
  3. Step 3: Cross multiply
    4,713.32x = 6,496.92 × 3,766.13
  4. Step 4: Simplify right side
    4,713.32x = 24,468,212.84
  5. Step 5: Solve for x
    x = 24,468,212.84/4,713.32
  6. Step 6: Final answer
    x = 5,191.30

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