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Finding the Fourth Proportional to 3,766.32, 5,649.48 and 1,169.26

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Solution

The fourth proportional to 3,766.32, 5,649.48 and 1,169.26 is: 1,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.32 : 5,649.48 = 1,169.26 : x
  2. Step 2: Convert to fraction form
    3,766.32/5,649.48 = 1,169.26/x
  3. Step 3: Cross multiply
    3,766.32x = 5,649.48 × 1,169.26
  4. Step 4: Simplify right side
    3,766.32x = 6,605,696.86
  5. Step 5: Solve for x
    x = 6,605,696.86/3,766.32
  6. Step 6: Final answer
    x = 1,753.89

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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.