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Finding the Fourth Proportional to 5,815, 8,713.14 and 3,473.56

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Solution

The fourth proportional to 5,815, 8,713.14 and 3,473.56 is: 5,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815 : 8,713.14 = 3,473.56 : x
  2. Step 2: Convert to fraction form
    5,815/8,713.14 = 3,473.56/x
  3. Step 3: Cross multiply
    5,815x = 8,713.14 × 3,473.56
  4. Step 4: Simplify right side
    5,815x = 30,265,614.58
  5. Step 5: Solve for x
    x = 30,265,614.58/5,815
  6. Step 6: Final answer
    x = 5,204.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.