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Finding the Fourth Proportional to 3,753.62, 5,626.52 and 1,412.02

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Solution

The fourth proportional to 3,753.62, 5,626.52 and 1,412.02 is: 2,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.62 : 5,626.52 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    3,753.62/5,626.52 = 1,412.02/x
  3. Step 3: Cross multiply
    3,753.62x = 5,626.52 × 1,412.02
  4. Step 4: Simplify right side
    3,753.62x = 7,944,740.33
  5. Step 5: Solve for x
    x = 7,944,740.33/3,753.62
  6. Step 6: Final answer
    x = 2,116.55

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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.