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Finding the Fourth Proportional to 5,805.52, 8,708.55 and 2,342.50

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Solution

The fourth proportional to 5,805.52, 8,708.55 and 2,342.50 is: 3,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.52 : 8,708.55 = 2,342.50 : x
  2. Step 2: Convert to fraction form
    5,805.52/8,708.55 = 2,342.50/x
  3. Step 3: Cross multiply
    5,805.52x = 8,708.55 × 2,342.50
  4. Step 4: Simplify right side
    5,805.52x = 20,399,778.38
  5. Step 5: Solve for x
    x = 20,399,778.38/5,805.52
  6. Step 6: Final answer
    x = 3,513.86

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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.