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Finding the Fourth Proportional to 4,294.80, 6,438.48 and 2,559.78

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Solution

The fourth proportional to 4,294.80, 6,438.48 and 2,559.78 is: 3,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.80 : 6,438.48 = 2,559.78 : x
  2. Step 2: Convert to fraction form
    4,294.80/6,438.48 = 2,559.78/x
  3. Step 3: Cross multiply
    4,294.80x = 6,438.48 × 2,559.78
  4. Step 4: Simplify right side
    4,294.80x = 16,481,092.33
  5. Step 5: Solve for x
    x = 16,481,092.33/4,294.80
  6. Step 6: Final answer
    x = 3,837.45

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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.