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Finding the Fourth Proportional to 3,909.66, 5,864.49 and 3,650.46

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Solution

The fourth proportional to 3,909.66, 5,864.49 and 3,650.46 is: 5,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.66 : 5,864.49 = 3,650.46 : x
  2. Step 2: Convert to fraction form
    3,909.66/5,864.49 = 3,650.46/x
  3. Step 3: Cross multiply
    3,909.66x = 5,864.49 × 3,650.46
  4. Step 4: Simplify right side
    3,909.66x = 21,408,086.17
  5. Step 5: Solve for x
    x = 21,408,086.17/3,909.66
  6. Step 6: Final answer
    x = 5,475.69

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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.