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Finding the Fourth Proportional to 3,598.38, 4,965.42 and 2,004.96

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Solution

The fourth proportional to 3,598.38, 4,965.42 and 2,004.96 is: 2,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.38 : 4,965.42 = 2,004.96 : x
  2. Step 2: Convert to fraction form
    3,598.38/4,965.42 = 2,004.96/x
  3. Step 3: Cross multiply
    3,598.38x = 4,965.42 × 2,004.96
  4. Step 4: Simplify right side
    3,598.38x = 9,955,468.48
  5. Step 5: Solve for x
    x = 9,955,468.48/3,598.38
  6. Step 6: Final answer
    x = 2,766.65

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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.