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Finding the Fourth Proportional to 5,689.63, 7,850.68 and 4,198.83

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Solution

The fourth proportional to 5,689.63, 7,850.68 and 4,198.83 is: 5,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.63 : 7,850.68 = 4,198.83 : x
  2. Step 2: Convert to fraction form
    5,689.63/7,850.68 = 4,198.83/x
  3. Step 3: Cross multiply
    5,689.63x = 7,850.68 × 4,198.83
  4. Step 4: Simplify right side
    5,689.63x = 32,963,670.70
  5. Step 5: Solve for x
    x = 32,963,670.70/5,689.63
  6. Step 6: Final answer
    x = 5,793.64

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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.