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Finding the Fourth Proportional to 5,081.78, 7,615.10 and 3,002.24

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Solution

The fourth proportional to 5,081.78, 7,615.10 and 3,002.24 is: 4,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,081.78 : 7,615.10 = 3,002.24 : x
  2. Step 2: Convert to fraction form
    5,081.78/7,615.10 = 3,002.24/x
  3. Step 3: Cross multiply
    5,081.78x = 7,615.10 × 3,002.24
  4. Step 4: Simplify right side
    5,081.78x = 22,862,327.25
  5. Step 5: Solve for x
    x = 22,862,327.25/5,081.78
  6. Step 6: Final answer
    x = 4,498.89

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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.