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Finding the Fourth Proportional to 3,796.89, 5,240.07 and 2,304.47

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Solution

The fourth proportional to 3,796.89, 5,240.07 and 2,304.47 is: 3,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.89 : 5,240.07 = 2,304.47 : x
  2. Step 2: Convert to fraction form
    3,796.89/5,240.07 = 2,304.47/x
  3. Step 3: Cross multiply
    3,796.89x = 5,240.07 × 2,304.47
  4. Step 4: Simplify right side
    3,796.89x = 12,075,557.91
  5. Step 5: Solve for x
    x = 12,075,557.91/3,796.89
  6. Step 6: Final answer
    x = 3,180.38

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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.