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Finding the Fourth Proportional to 5,397.87, 8,095.29 and 3,420.56

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Solution

The fourth proportional to 5,397.87, 8,095.29 and 3,420.56 is: 5,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.87 : 8,095.29 = 3,420.56 : x
  2. Step 2: Convert to fraction form
    5,397.87/8,095.29 = 3,420.56/x
  3. Step 3: Cross multiply
    5,397.87x = 8,095.29 × 3,420.56
  4. Step 4: Simplify right side
    5,397.87x = 27,690,384.69
  5. Step 5: Solve for x
    x = 27,690,384.69/5,397.87
  6. Step 6: Final answer
    x = 5,129.87

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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.