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Finding the Fourth Proportional to 3,537.82, 4,882.28 and 1,966.02

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Solution

The fourth proportional to 3,537.82, 4,882.28 and 1,966.02 is: 2,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.82 : 4,882.28 = 1,966.02 : x
  2. Step 2: Convert to fraction form
    3,537.82/4,882.28 = 1,966.02/x
  3. Step 3: Cross multiply
    3,537.82x = 4,882.28 × 1,966.02
  4. Step 4: Simplify right side
    3,537.82x = 9,598,660.13
  5. Step 5: Solve for x
    x = 9,598,660.13/3,537.82
  6. Step 6: Final answer
    x = 2,713.16

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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.