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Finding the Fourth Proportional to 5,899.52, 8,141.63 and 3,246.90

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Solution

The fourth proportional to 5,899.52, 8,141.63 and 3,246.90 is: 4,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.52 : 8,141.63 = 3,246.90 : x
  2. Step 2: Convert to fraction form
    5,899.52/8,141.63 = 3,246.90/x
  3. Step 3: Cross multiply
    5,899.52x = 8,141.63 × 3,246.90
  4. Step 4: Simplify right side
    5,899.52x = 26,435,042.21
  5. Step 5: Solve for x
    x = 26,435,042.21/5,899.52
  6. Step 6: Final answer
    x = 4,480.88

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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.