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Finding the Fourth Proportional to 5,760.64, 7,963.86 and 5,708.02

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Solution

The fourth proportional to 5,760.64, 7,963.86 and 5,708.02 is: 7,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.64 : 7,963.86 = 5,708.02 : x
  2. Step 2: Convert to fraction form
    5,760.64/7,963.86 = 5,708.02/x
  3. Step 3: Cross multiply
    5,760.64x = 7,963.86 × 5,708.02
  4. Step 4: Simplify right side
    5,760.64x = 45,457,872.16
  5. Step 5: Solve for x
    x = 45,457,872.16/5,760.64
  6. Step 6: Final answer
    x = 7,891.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.