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Finding the Fourth Proportional to 5,463.53, 8,194.47 and 2,689.46

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Solution

The fourth proportional to 5,463.53, 8,194.47 and 2,689.46 is: 4,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.53 : 8,194.47 = 2,689.46 : x
  2. Step 2: Convert to fraction form
    5,463.53/8,194.47 = 2,689.46/x
  3. Step 3: Cross multiply
    5,463.53x = 8,194.47 × 2,689.46
  4. Step 4: Simplify right side
    5,463.53x = 22,038,658.31
  5. Step 5: Solve for x
    x = 22,038,658.31/5,463.53
  6. Step 6: Final answer
    x = 4,033.78

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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.