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Finding the Fourth Proportional to 5,882.08, 8,117.46 and 3,398.08

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Solution

The fourth proportional to 5,882.08, 8,117.46 and 3,398.08 is: 4,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.08 : 8,117.46 = 3,398.08 : x
  2. Step 2: Convert to fraction form
    5,882.08/8,117.46 = 3,398.08/x
  3. Step 3: Cross multiply
    5,882.08x = 8,117.46 × 3,398.08
  4. Step 4: Simplify right side
    5,882.08x = 27,583,778.48
  5. Step 5: Solve for x
    x = 27,583,778.48/5,882.08
  6. Step 6: Final answer
    x = 4,689.46

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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.