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Finding the Fourth Proportional to 3,613.46, 4,978.82 and 2,432.48

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Solution

The fourth proportional to 3,613.46, 4,978.82 and 2,432.48 is: 3,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.46 : 4,978.82 = 2,432.48 : x
  2. Step 2: Convert to fraction form
    3,613.46/4,978.82 = 2,432.48/x
  3. Step 3: Cross multiply
    3,613.46x = 4,978.82 × 2,432.48
  4. Step 4: Simplify right side
    3,613.46x = 12,110,843.02
  5. Step 5: Solve for x
    x = 12,110,843.02/3,613.46
  6. Step 6: Final answer
    x = 3,351.60

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