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Finding the Fourth Proportional to 5,234.16, 7,223.04 and 2,876.16

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Solution

The fourth proportional to 5,234.16, 7,223.04 and 2,876.16 is: 3,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.16 : 7,223.04 = 2,876.16 : x
  2. Step 2: Convert to fraction form
    5,234.16/7,223.04 = 2,876.16/x
  3. Step 3: Cross multiply
    5,234.16x = 7,223.04 × 2,876.16
  4. Step 4: Simplify right side
    5,234.16x = 20,774,618.73
  5. Step 5: Solve for x
    x = 20,774,618.73/5,234.16
  6. Step 6: Final answer
    x = 3,969.05

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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.