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Finding the Fourth Proportional to 3,943.71, 5,442.03 and 2,264.88

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Solution

The fourth proportional to 3,943.71, 5,442.03 and 2,264.88 is: 3,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.71 : 5,442.03 = 2,264.88 : x
  2. Step 2: Convert to fraction form
    3,943.71/5,442.03 = 2,264.88/x
  3. Step 3: Cross multiply
    3,943.71x = 5,442.03 × 2,264.88
  4. Step 4: Simplify right side
    3,943.71x = 12,325,544.91
  5. Step 5: Solve for x
    x = 12,325,544.91/3,943.71
  6. Step 6: Final answer
    x = 3,125.37

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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.