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Finding the Fourth Proportional to 5,398.71, 8,098.07 and 1,503.15

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Solution

The fourth proportional to 5,398.71, 8,098.07 and 1,503.15 is: 2,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.71 : 8,098.07 = 1,503.15 : x
  2. Step 2: Convert to fraction form
    5,398.71/8,098.07 = 1,503.15/x
  3. Step 3: Cross multiply
    5,398.71x = 8,098.07 × 1,503.15
  4. Step 4: Simplify right side
    5,398.71x = 12,172,606.40
  5. Step 5: Solve for x
    x = 12,172,606.40/5,398.71
  6. Step 6: Final answer
    x = 2,254.73

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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.