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Finding the Fourth Proportional to 5,679.24, 7,832.88 and 3,910.20

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Solution

The fourth proportional to 5,679.24, 7,832.88 and 3,910.20 is: 5,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.24 : 7,832.88 = 3,910.20 : x
  2. Step 2: Convert to fraction form
    5,679.24/7,832.88 = 3,910.20/x
  3. Step 3: Cross multiply
    5,679.24x = 7,832.88 × 3,910.20
  4. Step 4: Simplify right side
    5,679.24x = 30,628,127.38
  5. Step 5: Solve for x
    x = 30,628,127.38/5,679.24
  6. Step 6: Final answer
    x = 5,393.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.