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Finding the Fourth Proportional to 3,958.47, 5,462.51 and 2,165.90

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Solution

The fourth proportional to 3,958.47, 5,462.51 and 2,165.90 is: 2,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.47 : 5,462.51 = 2,165.90 : x
  2. Step 2: Convert to fraction form
    3,958.47/5,462.51 = 2,165.90/x
  3. Step 3: Cross multiply
    3,958.47x = 5,462.51 × 2,165.90
  4. Step 4: Simplify right side
    3,958.47x = 11,831,212.27
  5. Step 5: Solve for x
    x = 11,831,212.27/3,958.47
  6. Step 6: Final answer
    x = 2,988.83

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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.