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Finding the Fourth Proportional to 5,809.46, 8,017.22 and 3,291.92

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Solution

The fourth proportional to 5,809.46, 8,017.22 and 3,291.92 is: 4,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.46 : 8,017.22 = 3,291.92 : x
  2. Step 2: Convert to fraction form
    5,809.46/8,017.22 = 3,291.92/x
  3. Step 3: Cross multiply
    5,809.46x = 8,017.22 × 3,291.92
  4. Step 4: Simplify right side
    5,809.46x = 26,392,046.86
  5. Step 5: Solve for x
    x = 26,392,046.86/5,809.46
  6. Step 6: Final answer
    x = 4,542.94

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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.