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Finding the Fourth Proportional to 3,637.87, 5,456.84 and 1,447.16

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Solution

The fourth proportional to 3,637.87, 5,456.84 and 1,447.16 is: 2,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.87 : 5,456.84 = 1,447.16 : x
  2. Step 2: Convert to fraction form
    3,637.87/5,456.84 = 1,447.16/x
  3. Step 3: Cross multiply
    3,637.87x = 5,456.84 × 1,447.16
  4. Step 4: Simplify right side
    3,637.87x = 7,896,886.05
  5. Step 5: Solve for x
    x = 7,896,886.05/3,637.87
  6. Step 6: Final answer
    x = 2,170.75

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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.