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Finding the Fourth Proportional to 3,684.32, 5,523.12 and 2,822.48

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Solution

The fourth proportional to 3,684.32, 5,523.12 and 2,822.48 is: 4,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.32 : 5,523.12 = 2,822.48 : x
  2. Step 2: Convert to fraction form
    3,684.32/5,523.12 = 2,822.48/x
  3. Step 3: Cross multiply
    3,684.32x = 5,523.12 × 2,822.48
  4. Step 4: Simplify right side
    3,684.32x = 15,588,895.74
  5. Step 5: Solve for x
    x = 15,588,895.74/3,684.32
  6. Step 6: Final answer
    x = 4,231.15

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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.