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Finding the Fourth Proportional to 5,215.76, 7,198.44 and 3,358.16

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Solution

The fourth proportional to 5,215.76, 7,198.44 and 3,358.16 is: 4,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.76 : 7,198.44 = 3,358.16 : x
  2. Step 2: Convert to fraction form
    5,215.76/7,198.44 = 3,358.16/x
  3. Step 3: Cross multiply
    5,215.76x = 7,198.44 × 3,358.16
  4. Step 4: Simplify right side
    5,215.76x = 24,173,513.27
  5. Step 5: Solve for x
    x = 24,173,513.27/5,215.76
  6. Step 6: Final answer
    x = 4,634.71

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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.