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Finding the Fourth Proportional to 3,791.16, 5,232.17 and 2,300.13

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Solution

The fourth proportional to 3,791.16, 5,232.17 and 2,300.13 is: 3,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.16 : 5,232.17 = 2,300.13 : x
  2. Step 2: Convert to fraction form
    3,791.16/5,232.17 = 2,300.13/x
  3. Step 3: Cross multiply
    3,791.16x = 5,232.17 × 2,300.13
  4. Step 4: Simplify right side
    3,791.16x = 12,034,671.18
  5. Step 5: Solve for x
    x = 12,034,671.18/3,791.16
  6. Step 6: Final answer
    x = 3,174.40

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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.