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Finding the Fourth Proportional to 5,192.16, 7,773.12 and 2,721.12

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Solution

The fourth proportional to 5,192.16, 7,773.12 and 2,721.12 is: 4,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.16 : 7,773.12 = 2,721.12 : x
  2. Step 2: Convert to fraction form
    5,192.16/7,773.12 = 2,721.12/x
  3. Step 3: Cross multiply
    5,192.16x = 7,773.12 × 2,721.12
  4. Step 4: Simplify right side
    5,192.16x = 21,151,592.29
  5. Step 5: Solve for x
    x = 21,151,592.29/5,192.16
  6. Step 6: Final answer
    x = 4,073.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.