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Finding the Fourth Proportional to 5,122.89, 7,679.74 and 2,002.17

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Solution

The fourth proportional to 5,122.89, 7,679.74 and 2,002.17 is: 3,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.89 : 7,679.74 = 2,002.17 : x
  2. Step 2: Convert to fraction form
    5,122.89/7,679.74 = 2,002.17/x
  3. Step 3: Cross multiply
    5,122.89x = 7,679.74 × 2,002.17
  4. Step 4: Simplify right side
    5,122.89x = 15,376,145.04
  5. Step 5: Solve for x
    x = 15,376,145.04/5,122.89
  6. Step 6: Final answer
    x = 3,001.46

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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.