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Finding the Fourth Proportional to 5,890.40, 8,129.04 and 3,532.40

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Solution

The fourth proportional to 5,890.40, 8,129.04 and 3,532.40 is: 4,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.40 : 8,129.04 = 3,532.40 : x
  2. Step 2: Convert to fraction form
    5,890.40/8,129.04 = 3,532.40/x
  3. Step 3: Cross multiply
    5,890.40x = 8,129.04 × 3,532.40
  4. Step 4: Simplify right side
    5,890.40x = 28,715,020.90
  5. Step 5: Solve for x
    x = 28,715,020.90/5,890.40
  6. Step 6: Final answer
    x = 4,874.88

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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.