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Finding the Fourth Proportional to 5,766.26, 7,949.49 and 4,349.30

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Solution

The fourth proportional to 5,766.26, 7,949.49 and 4,349.30 is: 5,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.26 : 7,949.49 = 4,349.30 : x
  2. Step 2: Convert to fraction form
    5,766.26/7,949.49 = 4,349.30/x
  3. Step 3: Cross multiply
    5,766.26x = 7,949.49 × 4,349.30
  4. Step 4: Simplify right side
    5,766.26x = 34,574,716.86
  5. Step 5: Solve for x
    x = 34,574,716.86/5,766.26
  6. Step 6: Final answer
    x = 5,996.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.