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Finding the Fourth Proportional to 5,230.78, 7,218.80 and 3,459.31

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Solution

The fourth proportional to 5,230.78, 7,218.80 and 3,459.31 is: 4,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.78 : 7,218.80 = 3,459.31 : x
  2. Step 2: Convert to fraction form
    5,230.78/7,218.80 = 3,459.31/x
  3. Step 3: Cross multiply
    5,230.78x = 7,218.80 × 3,459.31
  4. Step 4: Simplify right side
    5,230.78x = 24,972,067.03
  5. Step 5: Solve for x
    x = 24,972,067.03/5,230.78
  6. Step 6: Final answer
    x = 4,774.06

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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.