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Finding the Fourth Proportional to 3,904.61, 5,826.92 and 3,489.39

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Solution

The fourth proportional to 3,904.61, 5,826.92 and 3,489.39 is: 5,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.61 : 5,826.92 = 3,489.39 : x
  2. Step 2: Convert to fraction form
    3,904.61/5,826.92 = 3,489.39/x
  3. Step 3: Cross multiply
    3,904.61x = 5,826.92 × 3,489.39
  4. Step 4: Simplify right side
    3,904.61x = 20,332,378.93
  5. Step 5: Solve for x
    x = 20,332,378.93/3,904.61
  6. Step 6: Final answer
    x = 5,207.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.