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Finding the Fourth Proportional to 5,865.41, 8,791.71 and 2,164.52

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Solution

The fourth proportional to 5,865.41, 8,791.71 and 2,164.52 is: 3,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.41 : 8,791.71 = 2,164.52 : x
  2. Step 2: Convert to fraction form
    5,865.41/8,791.71 = 2,164.52/x
  3. Step 3: Cross multiply
    5,865.41x = 8,791.71 × 2,164.52
  4. Step 4: Simplify right side
    5,865.41x = 19,029,788.17
  5. Step 5: Solve for x
    x = 19,029,788.17/5,865.41
  6. Step 6: Final answer
    x = 3,244.41

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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.