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Finding the Fourth Proportional to 3,791.64, 5,232.42 and 2,113.04

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Solution

The fourth proportional to 3,791.64, 5,232.42 and 2,113.04 is: 2,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.64 : 5,232.42 = 2,113.04 : x
  2. Step 2: Convert to fraction form
    3,791.64/5,232.42 = 2,113.04/x
  3. Step 3: Cross multiply
    3,791.64x = 5,232.42 × 2,113.04
  4. Step 4: Simplify right side
    3,791.64x = 11,056,312.76
  5. Step 5: Solve for x
    x = 11,056,312.76/3,791.64
  6. Step 6: Final answer
    x = 2,915.97

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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.