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Finding the Fourth Proportional to 3,728.16, 5,141.16 and 2,312.28

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Solution

The fourth proportional to 3,728.16, 5,141.16 and 2,312.28 is: 3,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.16 : 5,141.16 = 2,312.28 : x
  2. Step 2: Convert to fraction form
    3,728.16/5,141.16 = 2,312.28/x
  3. Step 3: Cross multiply
    3,728.16x = 5,141.16 × 2,312.28
  4. Step 4: Simplify right side
    3,728.16x = 11,887,801.44
  5. Step 5: Solve for x
    x = 11,887,801.44/3,728.16
  6. Step 6: Final answer
    x = 3,188.65

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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.