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Finding the Fourth Proportional to 5,398.68, 8,098.14 and 2,475

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Solution

The fourth proportional to 5,398.68, 8,098.14 and 2,475 is: 3,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.68 : 8,098.14 = 2,475 : x
  2. Step 2: Convert to fraction form
    5,398.68/8,098.14 = 2,475/x
  3. Step 3: Cross multiply
    5,398.68x = 8,098.14 × 2,475
  4. Step 4: Simplify right side
    5,398.68x = 20,042,896.50
  5. Step 5: Solve for x
    x = 20,042,896.50/5,398.68
  6. Step 6: Final answer
    x = 3,712.56

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Why These Related Problems?

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