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Finding the Fourth Proportional to 3,408.60, 5,138.08 and 3,127.80

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Solution

The fourth proportional to 3,408.60, 5,138.08 and 3,127.80 is: 4,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.60 : 5,138.08 = 3,127.80 : x
  2. Step 2: Convert to fraction form
    3,408.60/5,138.08 = 3,127.80/x
  3. Step 3: Cross multiply
    3,408.60x = 5,138.08 × 3,127.80
  4. Step 4: Simplify right side
    3,408.60x = 16,070,886.62
  5. Step 5: Solve for x
    x = 16,070,886.62/3,408.60
  6. Step 6: Final answer
    x = 4,714.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.