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Finding the Fourth Proportional to 5,123.10, 7,679.02 and 2,002.16

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Solution

The fourth proportional to 5,123.10, 7,679.02 and 2,002.16 is: 3,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.10 : 7,679.02 = 2,002.16 : x
  2. Step 2: Convert to fraction form
    5,123.10/7,679.02 = 2,002.16/x
  3. Step 3: Cross multiply
    5,123.10x = 7,679.02 × 2,002.16
  4. Step 4: Simplify right side
    5,123.10x = 15,374,626.68
  5. Step 5: Solve for x
    x = 15,374,626.68/5,123.10
  6. Step 6: Final answer
    x = 3,001.04

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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.