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Finding the Fourth Proportional to 3,947.60, 5,448.31 and 3,001.87

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Solution

The fourth proportional to 3,947.60, 5,448.31 and 3,001.87 is: 4,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.60 : 5,448.31 = 3,001.87 : x
  2. Step 2: Convert to fraction form
    3,947.60/5,448.31 = 3,001.87/x
  3. Step 3: Cross multiply
    3,947.60x = 5,448.31 × 3,001.87
  4. Step 4: Simplify right side
    3,947.60x = 16,355,097.21
  5. Step 5: Solve for x
    x = 16,355,097.21/3,947.60
  6. Step 6: Final answer
    x = 4,143.05

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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.