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Finding the Fourth Proportional to 3,718.84, 5,132.16 and 2,227

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Solution

The fourth proportional to 3,718.84, 5,132.16 and 2,227 is: 3,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.84 : 5,132.16 = 2,227 : x
  2. Step 2: Convert to fraction form
    3,718.84/5,132.16 = 2,227/x
  3. Step 3: Cross multiply
    3,718.84x = 5,132.16 × 2,227
  4. Step 4: Simplify right side
    3,718.84x = 11,429,320.32
  5. Step 5: Solve for x
    x = 11,429,320.32/3,718.84
  6. Step 6: Final answer
    x = 3,073.36

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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.