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Finding the Fourth Proportional to 3,862.91, 5,332.89 and 3,021.83

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Solution

The fourth proportional to 3,862.91, 5,332.89 and 3,021.83 is: 4,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.91 : 5,332.89 = 3,021.83 : x
  2. Step 2: Convert to fraction form
    3,862.91/5,332.89 = 3,021.83/x
  3. Step 3: Cross multiply
    3,862.91x = 5,332.89 × 3,021.83
  4. Step 4: Simplify right side
    3,862.91x = 16,115,071.88
  5. Step 5: Solve for x
    x = 16,115,071.88/3,862.91
  6. Step 6: Final answer
    x = 4,171.74

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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.