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Finding the Fourth Proportional to 4,127.71, 5,696.22 and 2,264.71

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Solution

The fourth proportional to 4,127.71, 5,696.22 and 2,264.71 is: 3,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.71 : 5,696.22 = 2,264.71 : x
  2. Step 2: Convert to fraction form
    4,127.71/5,696.22 = 2,264.71/x
  3. Step 3: Cross multiply
    4,127.71x = 5,696.22 × 2,264.71
  4. Step 4: Simplify right side
    4,127.71x = 12,900,286.40
  5. Step 5: Solve for x
    x = 12,900,286.40/4,127.71
  6. Step 6: Final answer
    x = 3,125.29

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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.