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Finding the Fourth Proportional to 4,753.68, 6,560.40 and 2,657.82

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Solution

The fourth proportional to 4,753.68, 6,560.40 and 2,657.82 is: 3,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.68 : 6,560.40 = 2,657.82 : x
  2. Step 2: Convert to fraction form
    4,753.68/6,560.40 = 2,657.82/x
  3. Step 3: Cross multiply
    4,753.68x = 6,560.40 × 2,657.82
  4. Step 4: Simplify right side
    4,753.68x = 17,436,362.33
  5. Step 5: Solve for x
    x = 17,436,362.33/4,753.68
  6. Step 6: Final answer
    x = 3,667.97

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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.