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Finding the Fourth Proportional to 5,291.33, 7,934.42 and 1,592.87

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Solution

The fourth proportional to 5,291.33, 7,934.42 and 1,592.87 is: 2,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.33 : 7,934.42 = 1,592.87 : x
  2. Step 2: Convert to fraction form
    5,291.33/7,934.42 = 1,592.87/x
  3. Step 3: Cross multiply
    5,291.33x = 7,934.42 × 1,592.87
  4. Step 4: Simplify right side
    5,291.33x = 12,638,463.90
  5. Step 5: Solve for x
    x = 12,638,463.90/5,291.33
  6. Step 6: Final answer
    x = 2,388.53

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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.