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Finding the Fourth Proportional to 3,867, 5,334.18 and 2,295

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Solution

The fourth proportional to 3,867, 5,334.18 and 2,295 is: 3,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867 : 5,334.18 = 2,295 : x
  2. Step 2: Convert to fraction form
    3,867/5,334.18 = 2,295/x
  3. Step 3: Cross multiply
    3,867x = 5,334.18 × 2,295
  4. Step 4: Simplify right side
    3,867x = 12,241,943.10
  5. Step 5: Solve for x
    x = 12,241,943.10/3,867
  6. Step 6: Final answer
    x = 3,165.75

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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.