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Finding the Fourth Proportional to 3,335.57, 5,005.98 and 1,257.24

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Solution

The fourth proportional to 3,335.57, 5,005.98 and 1,257.24 is: 1,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.57 : 5,005.98 = 1,257.24 : x
  2. Step 2: Convert to fraction form
    3,335.57/5,005.98 = 1,257.24/x
  3. Step 3: Cross multiply
    3,335.57x = 5,005.98 × 1,257.24
  4. Step 4: Simplify right side
    3,335.57x = 6,293,718.30
  5. Step 5: Solve for x
    x = 6,293,718.30/3,335.57
  6. Step 6: Final answer
    x = 1,886.85

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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.