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Finding the Fourth Proportional to 3,865.44, 5,334.20 and 2,293.52

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Solution

The fourth proportional to 3,865.44, 5,334.20 and 2,293.52 is: 3,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.44 : 5,334.20 = 2,293.52 : x
  2. Step 2: Convert to fraction form
    3,865.44/5,334.20 = 2,293.52/x
  3. Step 3: Cross multiply
    3,865.44x = 5,334.20 × 2,293.52
  4. Step 4: Simplify right side
    3,865.44x = 12,234,094.38
  5. Step 5: Solve for x
    x = 12,234,094.38/3,865.44
  6. Step 6: Final answer
    x = 3,164.99

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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.