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Finding the Fourth Proportional to 5,358.86, 7,439.77 and 5,198.48

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Solution

The fourth proportional to 5,358.86, 7,439.77 and 5,198.48 is: 7,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.86 : 7,439.77 = 5,198.48 : x
  2. Step 2: Convert to fraction form
    5,358.86/7,439.77 = 5,198.48/x
  3. Step 3: Cross multiply
    5,358.86x = 7,439.77 × 5,198.48
  4. Step 4: Simplify right side
    5,358.86x = 38,675,463.51
  5. Step 5: Solve for x
    x = 38,675,463.51/5,358.86
  6. Step 6: Final answer
    x = 7,217.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.