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Finding the Fourth Proportional to 3,585.47, 4,947.39 and 1,991.97

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Solution

The fourth proportional to 3,585.47, 4,947.39 and 1,991.97 is: 2,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.47 : 4,947.39 = 1,991.97 : x
  2. Step 2: Convert to fraction form
    3,585.47/4,947.39 = 1,991.97/x
  3. Step 3: Cross multiply
    3,585.47x = 4,947.39 × 1,991.97
  4. Step 4: Simplify right side
    3,585.47x = 9,855,052.46
  5. Step 5: Solve for x
    x = 9,855,052.46/3,585.47
  6. Step 6: Final answer
    x = 2,748.61

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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.