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Finding the Fourth Proportional to 5,772.25, 7,965.71 and 3,119.66

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Solution

The fourth proportional to 5,772.25, 7,965.71 and 3,119.66 is: 4,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.25 : 7,965.71 = 3,119.66 : x
  2. Step 2: Convert to fraction form
    5,772.25/7,965.71 = 3,119.66/x
  3. Step 3: Cross multiply
    5,772.25x = 7,965.71 × 3,119.66
  4. Step 4: Simplify right side
    5,772.25x = 24,850,306.86
  5. Step 5: Solve for x
    x = 24,850,306.86/5,772.25
  6. Step 6: Final answer
    x = 4,305.13

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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.