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Finding the Fourth Proportional to 5,241.80, 7,866.34 and 3,388.31

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Solution

The fourth proportional to 5,241.80, 7,866.34 and 3,388.31 is: 5,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.80 : 7,866.34 = 3,388.31 : x
  2. Step 2: Convert to fraction form
    5,241.80/7,866.34 = 3,388.31/x
  3. Step 3: Cross multiply
    5,241.80x = 7,866.34 × 3,388.31
  4. Step 4: Simplify right side
    5,241.80x = 26,653,598.49
  5. Step 5: Solve for x
    x = 26,653,598.49/5,241.80
  6. Step 6: Final answer
    x = 5,084.82

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