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Finding the Fourth Proportional to 5,794.20, 8,691.22 and 1,411.66

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Solution

The fourth proportional to 5,794.20, 8,691.22 and 1,411.66 is: 2,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.20 : 8,691.22 = 1,411.66 : x
  2. Step 2: Convert to fraction form
    5,794.20/8,691.22 = 1,411.66/x
  3. Step 3: Cross multiply
    5,794.20x = 8,691.22 × 1,411.66
  4. Step 4: Simplify right side
    5,794.20x = 12,269,047.63
  5. Step 5: Solve for x
    x = 12,269,047.63/5,794.20
  6. Step 6: Final answer
    x = 2,117.47

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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.