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Finding the Fourth Proportional to 3,547.62, 5,324.71 and 1,793.86

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Solution

The fourth proportional to 3,547.62, 5,324.71 and 1,793.86 is: 2,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.62 : 5,324.71 = 1,793.86 : x
  2. Step 2: Convert to fraction form
    3,547.62/5,324.71 = 1,793.86/x
  3. Step 3: Cross multiply
    3,547.62x = 5,324.71 × 1,793.86
  4. Step 4: Simplify right side
    3,547.62x = 9,551,766.48
  5. Step 5: Solve for x
    x = 9,551,766.48/3,547.62
  6. Step 6: Final answer
    x = 2,692.44

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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.