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Finding the Fourth Proportional to 5,399.86, 7,451.77 and 3,042.76

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Solution

The fourth proportional to 5,399.86, 7,451.77 and 3,042.76 is: 4,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.86 : 7,451.77 = 3,042.76 : x
  2. Step 2: Convert to fraction form
    5,399.86/7,451.77 = 3,042.76/x
  3. Step 3: Cross multiply
    5,399.86x = 7,451.77 × 3,042.76
  4. Step 4: Simplify right side
    5,399.86x = 22,673,895.21
  5. Step 5: Solve for x
    x = 22,673,895.21/5,399.86
  6. Step 6: Final answer
    x = 4,198.98

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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.