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Finding the Fourth Proportional to 5,689.59, 8,535.74 and 1,793.99

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Solution

The fourth proportional to 5,689.59, 8,535.74 and 1,793.99 is: 2,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.59 : 8,535.74 = 1,793.99 : x
  2. Step 2: Convert to fraction form
    5,689.59/8,535.74 = 1,793.99/x
  3. Step 3: Cross multiply
    5,689.59x = 8,535.74 × 1,793.99
  4. Step 4: Simplify right side
    5,689.59x = 15,313,044.57
  5. Step 5: Solve for x
    x = 15,313,044.57/5,689.59
  6. Step 6: Final answer
    x = 2,691.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.