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Finding the Fourth Proportional to 5,098.57, 7,646.94 and 3,244.18

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Solution

The fourth proportional to 5,098.57, 7,646.94 and 3,244.18 is: 4,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.57 : 7,646.94 = 3,244.18 : x
  2. Step 2: Convert to fraction form
    5,098.57/7,646.94 = 3,244.18/x
  3. Step 3: Cross multiply
    5,098.57x = 7,646.94 × 3,244.18
  4. Step 4: Simplify right side
    5,098.57x = 24,808,042.86
  5. Step 5: Solve for x
    x = 24,808,042.86/5,098.57
  6. Step 6: Final answer
    x = 4,865.69

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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.