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Finding the Fourth Proportional to 3,684.88, 5,524.84 and 1,462.24

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Solution

The fourth proportional to 3,684.88, 5,524.84 and 1,462.24 is: 2,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.88 : 5,524.84 = 1,462.24 : x
  2. Step 2: Convert to fraction form
    3,684.88/5,524.84 = 1,462.24/x
  3. Step 3: Cross multiply
    3,684.88x = 5,524.84 × 1,462.24
  4. Step 4: Simplify right side
    3,684.88x = 8,078,642.04
  5. Step 5: Solve for x
    x = 8,078,642.04/3,684.88
  6. Step 6: Final answer
    x = 2,192.38

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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.