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Finding the Fourth Proportional to 3,462.96, 5,191.20 and 1,516.32

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Solution

The fourth proportional to 3,462.96, 5,191.20 and 1,516.32 is: 2,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.96 : 5,191.20 = 1,516.32 : x
  2. Step 2: Convert to fraction form
    3,462.96/5,191.20 = 1,516.32/x
  3. Step 3: Cross multiply
    3,462.96x = 5,191.20 × 1,516.32
  4. Step 4: Simplify right side
    3,462.96x = 7,871,520.38
  5. Step 5: Solve for x
    x = 7,871,520.38/3,462.96
  6. Step 6: Final answer
    x = 2,273.06

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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.