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Finding the Fourth Proportional to 3,792.64, 5,234.23 and 2,280.69

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Solution

The fourth proportional to 3,792.64, 5,234.23 and 2,280.69 is: 3,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.64 : 5,234.23 = 2,280.69 : x
  2. Step 2: Convert to fraction form
    3,792.64/5,234.23 = 2,280.69/x
  3. Step 3: Cross multiply
    3,792.64x = 5,234.23 × 2,280.69
  4. Step 4: Simplify right side
    3,792.64x = 11,937,669.10
  5. Step 5: Solve for x
    x = 11,937,669.10/3,792.64
  6. Step 6: Final answer
    x = 3,147.59

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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.