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Finding the Fourth Proportional to 3,743.84, 5,165.78 and 2,327.92

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Solution

The fourth proportional to 3,743.84, 5,165.78 and 2,327.92 is: 3,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.84 : 5,165.78 = 2,327.92 : x
  2. Step 2: Convert to fraction form
    3,743.84/5,165.78 = 2,327.92/x
  3. Step 3: Cross multiply
    3,743.84x = 5,165.78 × 2,327.92
  4. Step 4: Simplify right side
    3,743.84x = 12,025,522.58
  5. Step 5: Solve for x
    x = 12,025,522.58/3,743.84
  6. Step 6: Final answer
    x = 3,212.08

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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.