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Finding the Fourth Proportional to 3,704.50, 5,113.07 and 2,445.81

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Solution

The fourth proportional to 3,704.50, 5,113.07 and 2,445.81 is: 3,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.50 : 5,113.07 = 2,445.81 : x
  2. Step 2: Convert to fraction form
    3,704.50/5,113.07 = 2,445.81/x
  3. Step 3: Cross multiply
    3,704.50x = 5,113.07 × 2,445.81
  4. Step 4: Simplify right side
    3,704.50x = 12,505,597.74
  5. Step 5: Solve for x
    x = 12,505,597.74/3,704.50
  6. Step 6: Final answer
    x = 3,375.79

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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.