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Finding the Fourth Proportional to 5,711.68, 7,883.00 and 3,474.25

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Solution

The fourth proportional to 5,711.68, 7,883.00 and 3,474.25 is: 4,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.68 : 7,883.00 = 3,474.25 : x
  2. Step 2: Convert to fraction form
    5,711.68/7,883.00 = 3,474.25/x
  3. Step 3: Cross multiply
    5,711.68x = 7,883.00 × 3,474.25
  4. Step 4: Simplify right side
    5,711.68x = 27,387,552.58
  5. Step 5: Solve for x
    x = 27,387,552.58/5,711.68
  6. Step 6: Final answer
    x = 4,795.01

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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.