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Finding the Fourth Proportional to 5,882.72, 8,119.32 and 3,493.28

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Solution

The fourth proportional to 5,882.72, 8,119.32 and 3,493.28 is: 4,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.72 : 8,119.32 = 3,493.28 : x
  2. Step 2: Convert to fraction form
    5,882.72/8,119.32 = 3,493.28/x
  3. Step 3: Cross multiply
    5,882.72x = 8,119.32 × 3,493.28
  4. Step 4: Simplify right side
    5,882.72x = 28,363,058.17
  5. Step 5: Solve for x
    x = 28,363,058.17/5,882.72
  6. Step 6: Final answer
    x = 4,821.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.