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Finding the Fourth Proportional to 4,196.60, 5,789.03 and 2,602.71

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Solution

The fourth proportional to 4,196.60, 5,789.03 and 2,602.71 is: 3,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.60 : 5,789.03 = 2,602.71 : x
  2. Step 2: Convert to fraction form
    4,196.60/5,789.03 = 2,602.71/x
  3. Step 3: Cross multiply
    4,196.60x = 5,789.03 × 2,602.71
  4. Step 4: Simplify right side
    4,196.60x = 15,067,166.27
  5. Step 5: Solve for x
    x = 15,067,166.27/4,196.60
  6. Step 6: Final answer
    x = 3,590.33

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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.