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Finding the Fourth Proportional to 3,791.66, 5,232.48 and 2,113.14

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Solution

The fourth proportional to 3,791.66, 5,232.48 and 2,113.14 is: 2,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.66 : 5,232.48 = 2,113.14 : x
  2. Step 2: Convert to fraction form
    3,791.66/5,232.48 = 2,113.14/x
  3. Step 3: Cross multiply
    3,791.66x = 5,232.48 × 2,113.14
  4. Step 4: Simplify right side
    3,791.66x = 11,056,962.79
  5. Step 5: Solve for x
    x = 11,056,962.79/3,791.66
  6. Step 6: Final answer
    x = 2,916.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.