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Finding the Fourth Proportional to 3,757.12, 5,634.06 and 1,447

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Solution

The fourth proportional to 3,757.12, 5,634.06 and 1,447 is: 2,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.12 : 5,634.06 = 1,447 : x
  2. Step 2: Convert to fraction form
    3,757.12/5,634.06 = 1,447/x
  3. Step 3: Cross multiply
    3,757.12x = 5,634.06 × 1,447
  4. Step 4: Simplify right side
    3,757.12x = 8,152,484.82
  5. Step 5: Solve for x
    x = 8,152,484.82/3,757.12
  6. Step 6: Final answer
    x = 2,169.88

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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.