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Finding the Fourth Proportional to 5,387, 7,434.18 and 3,292.28

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Solution

The fourth proportional to 5,387, 7,434.18 and 3,292.28 is: 4,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387 : 7,434.18 = 3,292.28 : x
  2. Step 2: Convert to fraction form
    5,387/7,434.18 = 3,292.28/x
  3. Step 3: Cross multiply
    5,387x = 7,434.18 × 3,292.28
  4. Step 4: Simplify right side
    5,387x = 24,475,402.13
  5. Step 5: Solve for x
    x = 24,475,402.13/5,387
  6. Step 6: Final answer
    x = 4,543.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.