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Finding the Fourth Proportional to 3,706.70, 5,114.48 and 2,449.85

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Solution

The fourth proportional to 3,706.70, 5,114.48 and 2,449.85 is: 3,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.70 : 5,114.48 = 2,449.85 : x
  2. Step 2: Convert to fraction form
    3,706.70/5,114.48 = 2,449.85/x
  3. Step 3: Cross multiply
    3,706.70x = 5,114.48 × 2,449.85
  4. Step 4: Simplify right side
    3,706.70x = 12,529,671.01
  5. Step 5: Solve for x
    x = 12,529,671.01/3,706.70
  6. Step 6: Final answer
    x = 3,380.28

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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.