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Finding the Fourth Proportional to 5,834.97, 8,752.45 and 1,452.42

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Solution

The fourth proportional to 5,834.97, 8,752.45 and 1,452.42 is: 2,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.97 : 8,752.45 = 1,452.42 : x
  2. Step 2: Convert to fraction form
    5,834.97/8,752.45 = 1,452.42/x
  3. Step 3: Cross multiply
    5,834.97x = 8,752.45 × 1,452.42
  4. Step 4: Simplify right side
    5,834.97x = 12,712,233.43
  5. Step 5: Solve for x
    x = 12,712,233.43/5,834.97
  6. Step 6: Final answer
    x = 2,178.63

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1.5x scale

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.