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Finding the Fourth Proportional to 3,340.97, 5,013.91 and 1,585.96

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Solution

The fourth proportional to 3,340.97, 5,013.91 and 1,585.96 is: 2,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.97 : 5,013.91 = 1,585.96 : x
  2. Step 2: Convert to fraction form
    3,340.97/5,013.91 = 1,585.96/x
  3. Step 3: Cross multiply
    3,340.97x = 5,013.91 × 1,585.96
  4. Step 4: Simplify right side
    3,340.97x = 7,951,835.63
  5. Step 5: Solve for x
    x = 7,951,835.63/3,340.97
  6. Step 6: Final answer
    x = 2,380.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.