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Finding the Fourth Proportional to 3,630.13, 5,009.57 and 1,974.13

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Solution

The fourth proportional to 3,630.13, 5,009.57 and 1,974.13 is: 2,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.13 : 5,009.57 = 1,974.13 : x
  2. Step 2: Convert to fraction form
    3,630.13/5,009.57 = 1,974.13/x
  3. Step 3: Cross multiply
    3,630.13x = 5,009.57 × 1,974.13
  4. Step 4: Simplify right side
    3,630.13x = 9,889,542.42
  5. Step 5: Solve for x
    x = 9,889,542.42/3,630.13
  6. Step 6: Final answer
    x = 2,724.29

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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.