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Finding the Fourth Proportional to 4,560.40, 6,841 and 3,342.96

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Solution

The fourth proportional to 4,560.40, 6,841 and 3,342.96 is: 5,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.40 : 6,841 = 3,342.96 : x
  2. Step 2: Convert to fraction form
    4,560.40/6,841 = 3,342.96/x
  3. Step 3: Cross multiply
    4,560.40x = 6,841 × 3,342.96
  4. Step 4: Simplify right side
    4,560.40x = 22,869,189.36
  5. Step 5: Solve for x
    x = 22,869,189.36/4,560.40
  6. Step 6: Final answer
    x = 5,014.73

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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.