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Finding the Fourth Proportional to 3,912.24, 5,865.12 and 1,446.60

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Solution

The fourth proportional to 3,912.24, 5,865.12 and 1,446.60 is: 2,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.24 : 5,865.12 = 1,446.60 : x
  2. Step 2: Convert to fraction form
    3,912.24/5,865.12 = 1,446.60/x
  3. Step 3: Cross multiply
    3,912.24x = 5,865.12 × 1,446.60
  4. Step 4: Simplify right side
    3,912.24x = 8,484,482.59
  5. Step 5: Solve for x
    x = 8,484,482.59/3,912.24
  6. Step 6: Final answer
    x = 2,168.70

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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.