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Finding the Fourth Proportional to 4,327.70, 5,973.70 and 2,691.86

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Solution

The fourth proportional to 4,327.70, 5,973.70 and 2,691.86 is: 3,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.70 : 5,973.70 = 2,691.86 : x
  2. Step 2: Convert to fraction form
    4,327.70/5,973.70 = 2,691.86/x
  3. Step 3: Cross multiply
    4,327.70x = 5,973.70 × 2,691.86
  4. Step 4: Simplify right side
    4,327.70x = 16,080,364.08
  5. Step 5: Solve for x
    x = 16,080,364.08/4,327.70
  6. Step 6: Final answer
    x = 3,715.68

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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.