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Finding the Fourth Proportional to 3,728.20, 5,146 and 2,312.32

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Solution

The fourth proportional to 3,728.20, 5,146 and 2,312.32 is: 3,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.20 : 5,146 = 2,312.32 : x
  2. Step 2: Convert to fraction form
    3,728.20/5,146 = 2,312.32/x
  3. Step 3: Cross multiply
    3,728.20x = 5,146 × 2,312.32
  4. Step 4: Simplify right side
    3,728.20x = 11,899,198.72
  5. Step 5: Solve for x
    x = 11,899,198.72/3,728.20
  6. Step 6: Final answer
    x = 3,191.67

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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.