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Finding the Fourth Proportional to 4,194.42, 5,788.54 and 2,331.42

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Solution

The fourth proportional to 4,194.42, 5,788.54 and 2,331.42 is: 3,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.42 : 5,788.54 = 2,331.42 : x
  2. Step 2: Convert to fraction form
    4,194.42/5,788.54 = 2,331.42/x
  3. Step 3: Cross multiply
    4,194.42x = 5,788.54 × 2,331.42
  4. Step 4: Simplify right side
    4,194.42x = 13,495,517.93
  5. Step 5: Solve for x
    x = 13,495,517.93/4,194.42
  6. Step 6: Final answer
    x = 3,217.49

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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.