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Finding the Fourth Proportional to 3,928.32, 5,866.62 and 3,149.46

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Solution

The fourth proportional to 3,928.32, 5,866.62 and 3,149.46 is: 4,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.32 : 5,866.62 = 3,149.46 : x
  2. Step 2: Convert to fraction form
    3,928.32/5,866.62 = 3,149.46/x
  3. Step 3: Cross multiply
    3,928.32x = 5,866.62 × 3,149.46
  4. Step 4: Simplify right side
    3,928.32x = 18,476,685.03
  5. Step 5: Solve for x
    x = 18,476,685.03/3,928.32
  6. Step 6: Final answer
    x = 4,703.46

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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.