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Finding the Fourth Proportional to 4,327.86, 5,972.11 and 2,648.58

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Solution

The fourth proportional to 4,327.86, 5,972.11 and 2,648.58 is: 3,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.86 : 5,972.11 = 2,648.58 : x
  2. Step 2: Convert to fraction form
    4,327.86/5,972.11 = 2,648.58/x
  3. Step 3: Cross multiply
    4,327.86x = 5,972.11 × 2,648.58
  4. Step 4: Simplify right side
    4,327.86x = 15,817,611.10
  5. Step 5: Solve for x
    x = 15,817,611.10/4,327.86
  6. Step 6: Final answer
    x = 3,654.83

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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.