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Finding the Fourth Proportional to 6,254.92, 9,380.22 and 2,557

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Solution

The fourth proportional to 6,254.92, 9,380.22 and 2,557 is: 3,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.92 : 9,380.22 = 2,557 : x
  2. Step 2: Convert to fraction form
    6,254.92/9,380.22 = 2,557/x
  3. Step 3: Cross multiply
    6,254.92x = 9,380.22 × 2,557
  4. Step 4: Simplify right side
    6,254.92x = 23,985,222.54
  5. Step 5: Solve for x
    x = 23,985,222.54/6,254.92
  6. Step 6: Final answer
    x = 3,834.62

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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.