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Finding the Fourth Proportional to 3,189.78, 4,400.65 and 2,352.49

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Solution

The fourth proportional to 3,189.78, 4,400.65 and 2,352.49 is: 3,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.78 : 4,400.65 = 2,352.49 : x
  2. Step 2: Convert to fraction form
    3,189.78/4,400.65 = 2,352.49/x
  3. Step 3: Cross multiply
    3,189.78x = 4,400.65 × 2,352.49
  4. Step 4: Simplify right side
    3,189.78x = 10,352,488.58
  5. Step 5: Solve for x
    x = 10,352,488.58/3,189.78
  6. Step 6: Final answer
    x = 3,245.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.