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Finding the Fourth Proportional to 5,882.47, 8,116.22 and 3,490.45

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Solution

The fourth proportional to 5,882.47, 8,116.22 and 3,490.45 is: 4,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.47 : 8,116.22 = 3,490.45 : x
  2. Step 2: Convert to fraction form
    5,882.47/8,116.22 = 3,490.45/x
  3. Step 3: Cross multiply
    5,882.47x = 8,116.22 × 3,490.45
  4. Step 4: Simplify right side
    5,882.47x = 28,329,260.10
  5. Step 5: Solve for x
    x = 28,329,260.10/5,882.47
  6. Step 6: Final answer
    x = 4,815.88

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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.