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Finding the Fourth Proportional to 3,091.47, 4,637.49 and 1,011.49

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Solution

The fourth proportional to 3,091.47, 4,637.49 and 1,011.49 is: 1,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.47 : 4,637.49 = 1,011.49 : x
  2. Step 2: Convert to fraction form
    3,091.47/4,637.49 = 1,011.49/x
  3. Step 3: Cross multiply
    3,091.47x = 4,637.49 × 1,011.49
  4. Step 4: Simplify right side
    3,091.47x = 4,690,763.17
  5. Step 5: Solve for x
    x = 4,690,763.17/3,091.47
  6. Step 6: Final answer
    x = 1,517.32

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