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Finding the Fourth Proportional to 4,711.68, 7,057.80 and 4,165.20

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Solution

The fourth proportional to 4,711.68, 7,057.80 and 4,165.20 is: 6,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.68 : 7,057.80 = 4,165.20 : x
  2. Step 2: Convert to fraction form
    4,711.68/7,057.80 = 4,165.20/x
  3. Step 3: Cross multiply
    4,711.68x = 7,057.80 × 4,165.20
  4. Step 4: Simplify right side
    4,711.68x = 29,397,148.56
  5. Step 5: Solve for x
    x = 29,397,148.56/4,711.68
  6. Step 6: Final answer
    x = 6,239.21

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