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Finding the Fourth Proportional to 5,679.23, 7,832.88 and 3,887.78

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Solution

The fourth proportional to 5,679.23, 7,832.88 and 3,887.78 is: 5,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.23 : 7,832.88 = 3,887.78 : x
  2. Step 2: Convert to fraction form
    5,679.23/7,832.88 = 3,887.78/x
  3. Step 3: Cross multiply
    5,679.23x = 7,832.88 × 3,887.78
  4. Step 4: Simplify right side
    5,679.23x = 30,452,475.04
  5. Step 5: Solve for x
    x = 30,452,475.04/5,679.23
  6. Step 6: Final answer
    x = 5,362.08

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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.