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Finding the Fourth Proportional to 3,432.81, 4,733.80 and 2,801.31

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Solution

The fourth proportional to 3,432.81, 4,733.80 and 2,801.31 is: 3,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.81 : 4,733.80 = 2,801.31 : x
  2. Step 2: Convert to fraction form
    3,432.81/4,733.80 = 2,801.31/x
  3. Step 3: Cross multiply
    3,432.81x = 4,733.80 × 2,801.31
  4. Step 4: Simplify right side
    3,432.81x = 13,260,841.28
  5. Step 5: Solve for x
    x = 13,260,841.28/3,432.81
  6. Step 6: Final answer
    x = 3,862.97

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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.