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Finding the Fourth Proportional to 5,488.16, 8,239.52 and 3,024.14

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Solution

The fourth proportional to 5,488.16, 8,239.52 and 3,024.14 is: 4,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.16 : 8,239.52 = 3,024.14 : x
  2. Step 2: Convert to fraction form
    5,488.16/8,239.52 = 3,024.14/x
  3. Step 3: Cross multiply
    5,488.16x = 8,239.52 × 3,024.14
  4. Step 4: Simplify right side
    5,488.16x = 24,917,428.38
  5. Step 5: Solve for x
    x = 24,917,428.38/5,488.16
  6. Step 6: Final answer
    x = 4,540.22

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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.