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Finding the Fourth Proportional to 4,114.80, 6,168.15 and 3,677.40

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Solution

The fourth proportional to 4,114.80, 6,168.15 and 3,677.40 is: 5,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.80 : 6,168.15 = 3,677.40 : x
  2. Step 2: Convert to fraction form
    4,114.80/6,168.15 = 3,677.40/x
  3. Step 3: Cross multiply
    4,114.80x = 6,168.15 × 3,677.40
  4. Step 4: Simplify right side
    4,114.80x = 22,682,754.81
  5. Step 5: Solve for x
    x = 22,682,754.81/4,114.80
  6. Step 6: Final answer
    x = 5,512.48

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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.