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Finding the Fourth Proportional to 4,127.66, 5,696.22 and 2,264.66

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Solution

The fourth proportional to 4,127.66, 5,696.22 and 2,264.66 is: 3,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.66 : 5,696.22 = 2,264.66 : x
  2. Step 2: Convert to fraction form
    4,127.66/5,696.22 = 2,264.66/x
  3. Step 3: Cross multiply
    4,127.66x = 5,696.22 × 2,264.66
  4. Step 4: Simplify right side
    4,127.66x = 12,899,961.78
  5. Step 5: Solve for x
    x = 12,899,961.78/4,127.66
  6. Step 6: Final answer
    x = 3,125.25

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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.