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Finding the Fourth Proportional to 5,257.96, 7,886.96 and 1,560.22

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Solution

The fourth proportional to 5,257.96, 7,886.96 and 1,560.22 is: 2,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.96 : 7,886.96 = 1,560.22 : x
  2. Step 2: Convert to fraction form
    5,257.96/7,886.96 = 1,560.22/x
  3. Step 3: Cross multiply
    5,257.96x = 7,886.96 × 1,560.22
  4. Step 4: Simplify right side
    5,257.96x = 12,305,353.30
  5. Step 5: Solve for x
    x = 12,305,353.30/5,257.96
  6. Step 6: Final answer
    x = 2,340.33

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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.