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Finding the Fourth Proportional to 5,713.62, 7,883.88 and 3,474.30

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Solution

The fourth proportional to 5,713.62, 7,883.88 and 3,474.30 is: 4,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.62 : 7,883.88 = 3,474.30 : x
  2. Step 2: Convert to fraction form
    5,713.62/7,883.88 = 3,474.30/x
  3. Step 3: Cross multiply
    5,713.62x = 7,883.88 × 3,474.30
  4. Step 4: Simplify right side
    5,713.62x = 27,390,964.28
  5. Step 5: Solve for x
    x = 27,390,964.28/5,713.62
  6. Step 6: Final answer
    x = 4,793.98

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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.