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Finding the Fourth Proportional to 5,138.86, 7,708.77 and 2,366.31

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Solution

The fourth proportional to 5,138.86, 7,708.77 and 2,366.31 is: 3,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.86 : 7,708.77 = 2,366.31 : x
  2. Step 2: Convert to fraction form
    5,138.86/7,708.77 = 2,366.31/x
  3. Step 3: Cross multiply
    5,138.86x = 7,708.77 × 2,366.31
  4. Step 4: Simplify right side
    5,138.86x = 18,241,339.54
  5. Step 5: Solve for x
    x = 18,241,339.54/5,138.86
  6. Step 6: Final answer
    x = 3,549.69

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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.