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Finding the Fourth Proportional to 3,968.22, 5,472.36 and 2,374.61

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Solution

The fourth proportional to 3,968.22, 5,472.36 and 2,374.61 is: 3,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.22 : 5,472.36 = 2,374.61 : x
  2. Step 2: Convert to fraction form
    3,968.22/5,472.36 = 2,374.61/x
  3. Step 3: Cross multiply
    3,968.22x = 5,472.36 × 2,374.61
  4. Step 4: Simplify right side
    3,968.22x = 12,994,720.78
  5. Step 5: Solve for x
    x = 12,994,720.78/3,968.22
  6. Step 6: Final answer
    x = 3,274.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.