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Finding the Fourth Proportional to 5,378.78, 7,421.49 and 3,020.76

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Solution

The fourth proportional to 5,378.78, 7,421.49 and 3,020.76 is: 4,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.78 : 7,421.49 = 3,020.76 : x
  2. Step 2: Convert to fraction form
    5,378.78/7,421.49 = 3,020.76/x
  3. Step 3: Cross multiply
    5,378.78x = 7,421.49 × 3,020.76
  4. Step 4: Simplify right side
    5,378.78x = 22,418,540.13
  5. Step 5: Solve for x
    x = 22,418,540.13/5,378.78
  6. Step 6: Final answer
    x = 4,167.96

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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.