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Finding the Fourth Proportional to 3,275.84, 4,909.38 and 1,193.89

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Solution

The fourth proportional to 3,275.84, 4,909.38 and 1,193.89 is: 1,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.84 : 4,909.38 = 1,193.89 : x
  2. Step 2: Convert to fraction form
    3,275.84/4,909.38 = 1,193.89/x
  3. Step 3: Cross multiply
    3,275.84x = 4,909.38 × 1,193.89
  4. Step 4: Simplify right side
    3,275.84x = 5,861,262.22
  5. Step 5: Solve for x
    x = 5,861,262.22/3,275.84
  6. Step 6: Final answer
    x = 1,789.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.