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Finding the Fourth Proportional to 3,742.68, 5,165.01 and 2,170.86

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Solution

The fourth proportional to 3,742.68, 5,165.01 and 2,170.86 is: 2,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.68 : 5,165.01 = 2,170.86 : x
  2. Step 2: Convert to fraction form
    3,742.68/5,165.01 = 2,170.86/x
  3. Step 3: Cross multiply
    3,742.68x = 5,165.01 × 2,170.86
  4. Step 4: Simplify right side
    3,742.68x = 11,212,513.61
  5. Step 5: Solve for x
    x = 11,212,513.61/3,742.68
  6. Step 6: Final answer
    x = 2,995.85

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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.