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Finding the Fourth Proportional to 3,866.96, 5,334.64 and 2,294.16

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Solution

The fourth proportional to 3,866.96, 5,334.64 and 2,294.16 is: 3,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.96 : 5,334.64 = 2,294.16 : x
  2. Step 2: Convert to fraction form
    3,866.96/5,334.64 = 2,294.16/x
  3. Step 3: Cross multiply
    3,866.96x = 5,334.64 × 2,294.16
  4. Step 4: Simplify right side
    3,866.96x = 12,238,517.70
  5. Step 5: Solve for x
    x = 12,238,517.70/3,866.96
  6. Step 6: Final answer
    x = 3,164.89

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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.