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Finding the Fourth Proportional to 3,882.59, 5,358.11 and 2,290.33

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Solution

The fourth proportional to 3,882.59, 5,358.11 and 2,290.33 is: 3,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.59 : 5,358.11 = 2,290.33 : x
  2. Step 2: Convert to fraction form
    3,882.59/5,358.11 = 2,290.33/x
  3. Step 3: Cross multiply
    3,882.59x = 5,358.11 × 2,290.33
  4. Step 4: Simplify right side
    3,882.59x = 12,271,840.08
  5. Step 5: Solve for x
    x = 12,271,840.08/3,882.59
  6. Step 6: Final answer
    x = 3,160.74

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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.