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Finding the Fourth Proportional to 5,257.89, 7,888.41 and 1,560.24

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Solution

The fourth proportional to 5,257.89, 7,888.41 and 1,560.24 is: 2,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.89 : 7,888.41 = 1,560.24 : x
  2. Step 2: Convert to fraction form
    5,257.89/7,888.41 = 1,560.24/x
  3. Step 3: Cross multiply
    5,257.89x = 7,888.41 × 1,560.24
  4. Step 4: Simplify right side
    5,257.89x = 12,307,812.82
  5. Step 5: Solve for x
    x = 12,307,812.82/5,257.89
  6. Step 6: Final answer
    x = 2,340.83

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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.