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Finding the Fourth Proportional to 5,760.54, 7,947.06 and 3,767.62

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Solution

The fourth proportional to 5,760.54, 7,947.06 and 3,767.62 is: 5,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.54 : 7,947.06 = 3,767.62 : x
  2. Step 2: Convert to fraction form
    5,760.54/7,947.06 = 3,767.62/x
  3. Step 3: Cross multiply
    5,760.54x = 7,947.06 × 3,767.62
  4. Step 4: Simplify right side
    5,760.54x = 29,941,502.20
  5. Step 5: Solve for x
    x = 29,941,502.20/5,760.54
  6. Step 6: Final answer
    x = 5,197.69

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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.