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Finding the Fourth Proportional to 5,174.80, 7,141.56 and 3,078.64

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Solution

The fourth proportional to 5,174.80, 7,141.56 and 3,078.64 is: 4,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.80 : 7,141.56 = 3,078.64 : x
  2. Step 2: Convert to fraction form
    5,174.80/7,141.56 = 3,078.64/x
  3. Step 3: Cross multiply
    5,174.80x = 7,141.56 × 3,078.64
  4. Step 4: Simplify right side
    5,174.80x = 21,986,292.28
  5. Step 5: Solve for x
    x = 21,986,292.28/5,174.80
  6. Step 6: Final answer
    x = 4,248.72

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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.