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Finding the Fourth Proportional to 3,406.78, 5,110.16 and 1,432.78

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Solution

The fourth proportional to 3,406.78, 5,110.16 and 1,432.78 is: 2,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.78 : 5,110.16 = 1,432.78 : x
  2. Step 2: Convert to fraction form
    3,406.78/5,110.16 = 1,432.78/x
  3. Step 3: Cross multiply
    3,406.78x = 5,110.16 × 1,432.78
  4. Step 4: Simplify right side
    3,406.78x = 7,321,725.85
  5. Step 5: Solve for x
    x = 7,321,725.85/3,406.78
  6. Step 6: Final answer
    x = 2,149.16

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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.