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Finding the Fourth Proportional to 3,829.68, 5,285.45 and 2,257.88

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Solution

The fourth proportional to 3,829.68, 5,285.45 and 2,257.88 is: 3,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.68 : 5,285.45 = 2,257.88 : x
  2. Step 2: Convert to fraction form
    3,829.68/5,285.45 = 2,257.88/x
  3. Step 3: Cross multiply
    3,829.68x = 5,285.45 × 2,257.88
  4. Step 4: Simplify right side
    3,829.68x = 11,933,891.06
  5. Step 5: Solve for x
    x = 11,933,891.06/3,829.68
  6. Step 6: Final answer
    x = 3,116.16

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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.