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Finding the Fourth Proportional to 3,549.92, 4,899.04 and 1,978.02

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Solution

The fourth proportional to 3,549.92, 4,899.04 and 1,978.02 is: 2,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.92 : 4,899.04 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    3,549.92/4,899.04 = 1,978.02/x
  3. Step 3: Cross multiply
    3,549.92x = 4,899.04 × 1,978.02
  4. Step 4: Simplify right side
    3,549.92x = 9,690,399.10
  5. Step 5: Solve for x
    x = 9,690,399.10/3,549.92
  6. Step 6: Final answer
    x = 2,729.75

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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.