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Finding the Fourth Proportional to 3,741.57, 5,611.73 and 2,642.60

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Solution

The fourth proportional to 3,741.57, 5,611.73 and 2,642.60 is: 3,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.57 : 5,611.73 = 2,642.60 : x
  2. Step 2: Convert to fraction form
    3,741.57/5,611.73 = 2,642.60/x
  3. Step 3: Cross multiply
    3,741.57x = 5,611.73 × 2,642.60
  4. Step 4: Simplify right side
    3,741.57x = 14,829,516.43
  5. Step 5: Solve for x
    x = 14,829,516.43/3,741.57
  6. Step 6: Final answer
    x = 3,963.45

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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.