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Finding the Fourth Proportional to 5,398.50, 8,098.02 and 2,475.48

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Solution

The fourth proportional to 5,398.50, 8,098.02 and 2,475.48 is: 3,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.50 : 8,098.02 = 2,475.48 : x
  2. Step 2: Convert to fraction form
    5,398.50/8,098.02 = 2,475.48/x
  3. Step 3: Cross multiply
    5,398.50x = 8,098.02 × 2,475.48
  4. Step 4: Simplify right side
    5,398.50x = 20,046,486.55
  5. Step 5: Solve for x
    x = 20,046,486.55/5,398.50
  6. Step 6: Final answer
    x = 3,713.34

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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.