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Finding the Fourth Proportional to 5,294.24, 7,930.78 and 2,523.60

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Solution

The fourth proportional to 5,294.24, 7,930.78 and 2,523.60 is: 3,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.24 : 7,930.78 = 2,523.60 : x
  2. Step 2: Convert to fraction form
    5,294.24/7,930.78 = 2,523.60/x
  3. Step 3: Cross multiply
    5,294.24x = 7,930.78 × 2,523.60
  4. Step 4: Simplify right side
    5,294.24x = 20,014,116.41
  5. Step 5: Solve for x
    x = 20,014,116.41/5,294.24
  6. Step 6: Final answer
    x = 3,780.36

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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.