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Finding the Fourth Proportional to 3,196.98, 4,789.44 and 2,853.90

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Solution

The fourth proportional to 3,196.98, 4,789.44 and 2,853.90 is: 4,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.98 : 4,789.44 = 2,853.90 : x
  2. Step 2: Convert to fraction form
    3,196.98/4,789.44 = 2,853.90/x
  3. Step 3: Cross multiply
    3,196.98x = 4,789.44 × 2,853.90
  4. Step 4: Simplify right side
    3,196.98x = 13,668,582.82
  5. Step 5: Solve for x
    x = 13,668,582.82/3,196.98
  6. Step 6: Final answer
    x = 4,275.47

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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.