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Finding the Fourth Proportional to 5,709.60, 7,878.96 and 3,351.78

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Solution

The fourth proportional to 5,709.60, 7,878.96 and 3,351.78 is: 4,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.60 : 7,878.96 = 3,351.78 : x
  2. Step 2: Convert to fraction form
    5,709.60/7,878.96 = 3,351.78/x
  3. Step 3: Cross multiply
    5,709.60x = 7,878.96 × 3,351.78
  4. Step 4: Simplify right side
    5,709.60x = 26,408,540.55
  5. Step 5: Solve for x
    x = 26,408,540.55/5,709.60
  6. Step 6: Final answer
    x = 4,625.29

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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.