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Finding the Fourth Proportional to 5,713.01, 7,884.36 and 3,474.47

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Solution

The fourth proportional to 5,713.01, 7,884.36 and 3,474.47 is: 4,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.01 : 7,884.36 = 3,474.47 : x
  2. Step 2: Convert to fraction form
    5,713.01/7,884.36 = 3,474.47/x
  3. Step 3: Cross multiply
    5,713.01x = 7,884.36 × 3,474.47
  4. Step 4: Simplify right side
    5,713.01x = 27,393,972.29
  5. Step 5: Solve for x
    x = 27,393,972.29/5,713.01
  6. Step 6: Final answer
    x = 4,795.02

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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.