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Finding the Fourth Proportional to 5,752.69, 8,631.06 and 2,833.04

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Solution

The fourth proportional to 5,752.69, 8,631.06 and 2,833.04 is: 4,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.69 : 8,631.06 = 2,833.04 : x
  2. Step 2: Convert to fraction form
    5,752.69/8,631.06 = 2,833.04/x
  3. Step 3: Cross multiply
    5,752.69x = 8,631.06 × 2,833.04
  4. Step 4: Simplify right side
    5,752.69x = 24,452,149.18
  5. Step 5: Solve for x
    x = 24,452,149.18/5,752.69
  6. Step 6: Final answer
    x = 4,250.56

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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.