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Finding the Fourth Proportional to 5,805.52, 8,708.72 and 2,342.80

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Solution

The fourth proportional to 5,805.52, 8,708.72 and 2,342.80 is: 3,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.52 : 8,708.72 = 2,342.80 : x
  2. Step 2: Convert to fraction form
    5,805.52/8,708.72 = 2,342.80/x
  3. Step 3: Cross multiply
    5,805.52x = 8,708.72 × 2,342.80
  4. Step 4: Simplify right side
    5,805.52x = 20,402,789.22
  5. Step 5: Solve for x
    x = 20,402,789.22/5,805.52
  6. Step 6: Final answer
    x = 3,514.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.