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Finding the Fourth Proportional to 3,408.64, 5,114.40 and 3,100.96

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Solution

The fourth proportional to 3,408.64, 5,114.40 and 3,100.96 is: 4,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.64 : 5,114.40 = 3,100.96 : x
  2. Step 2: Convert to fraction form
    3,408.64/5,114.40 = 3,100.96/x
  3. Step 3: Cross multiply
    3,408.64x = 5,114.40 × 3,100.96
  4. Step 4: Simplify right side
    3,408.64x = 15,859,549.82
  5. Step 5: Solve for x
    x = 15,859,549.82/3,408.64
  6. Step 6: Final answer
    x = 4,652.75

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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.