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Finding the Fourth Proportional to 5,292.54, 7,938.81 and 1,397.25

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Solution

The fourth proportional to 5,292.54, 7,938.81 and 1,397.25 is: 2,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.54 : 7,938.81 = 1,397.25 : x
  2. Step 2: Convert to fraction form
    5,292.54/7,938.81 = 1,397.25/x
  3. Step 3: Cross multiply
    5,292.54x = 7,938.81 × 1,397.25
  4. Step 4: Simplify right side
    5,292.54x = 11,092,502.27
  5. Step 5: Solve for x
    x = 11,092,502.27/5,292.54
  6. Step 6: Final answer
    x = 2,095.88

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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.