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Finding the Fourth Proportional to 3,598.98, 4,966.56 and 2,027.10

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Solution

The fourth proportional to 3,598.98, 4,966.56 and 2,027.10 is: 2,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.98 : 4,966.56 = 2,027.10 : x
  2. Step 2: Convert to fraction form
    3,598.98/4,966.56 = 2,027.10/x
  3. Step 3: Cross multiply
    3,598.98x = 4,966.56 × 2,027.10
  4. Step 4: Simplify right side
    3,598.98x = 10,067,713.78
  5. Step 5: Solve for x
    x = 10,067,713.78/3,598.98
  6. Step 6: Final answer
    x = 2,797.38

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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.