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Finding the Fourth Proportional to 3,289.58, 4,542.50 and 2,296.88

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Solution

The fourth proportional to 3,289.58, 4,542.50 and 2,296.88 is: 3,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.58 : 4,542.50 = 2,296.88 : x
  2. Step 2: Convert to fraction form
    3,289.58/4,542.50 = 2,296.88/x
  3. Step 3: Cross multiply
    3,289.58x = 4,542.50 × 2,296.88
  4. Step 4: Simplify right side
    3,289.58x = 10,433,565.92
  5. Step 5: Solve for x
    x = 10,433,565.92/3,289.58
  6. Step 6: Final answer
    x = 3,171.70

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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.