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Finding the Fourth Proportional to 3,550.23, 4,899.29 and 1,978.02

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Solution

The fourth proportional to 3,550.23, 4,899.29 and 1,978.02 is: 2,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.23 : 4,899.29 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    3,550.23/4,899.29 = 1,978.02/x
  3. Step 3: Cross multiply
    3,550.23x = 4,899.29 × 1,978.02
  4. Step 4: Simplify right side
    3,550.23x = 9,690,883.72
  5. Step 5: Solve for x
    x = 9,690,883.72/3,550.23
  6. Step 6: Final answer
    x = 2,729.65

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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.