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Finding the Fourth Proportional to 5,716.12, 7,888.47 and 3,358.24

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Solution

The fourth proportional to 5,716.12, 7,888.47 and 3,358.24 is: 4,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.12 : 7,888.47 = 3,358.24 : x
  2. Step 2: Convert to fraction form
    5,716.12/7,888.47 = 3,358.24/x
  3. Step 3: Cross multiply
    5,716.12x = 7,888.47 × 3,358.24
  4. Step 4: Simplify right side
    5,716.12x = 26,491,375.49
  5. Step 5: Solve for x
    x = 26,491,375.49/5,716.12
  6. Step 6: Final answer
    x = 4,634.50

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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.