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Finding the Fourth Proportional to 5,497.62, 8,257.50 and 3,280.78

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Solution

The fourth proportional to 5,497.62, 8,257.50 and 3,280.78 is: 4,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.62 : 8,257.50 = 3,280.78 : x
  2. Step 2: Convert to fraction form
    5,497.62/8,257.50 = 3,280.78/x
  3. Step 3: Cross multiply
    5,497.62x = 8,257.50 × 3,280.78
  4. Step 4: Simplify right side
    5,497.62x = 27,091,038.87
  5. Step 5: Solve for x
    x = 27,091,038.87/5,497.62
  6. Step 6: Final answer
    x = 4,927.78

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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.