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Finding the Fourth Proportional to 3,907.24, 5,393.84 and 2,963.20

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Solution

The fourth proportional to 3,907.24, 5,393.84 and 2,963.20 is: 4,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.24 : 5,393.84 = 2,963.20 : x
  2. Step 2: Convert to fraction form
    3,907.24/5,393.84 = 2,963.20/x
  3. Step 3: Cross multiply
    3,907.24x = 5,393.84 × 2,963.20
  4. Step 4: Simplify right side
    3,907.24x = 15,983,026.69
  5. Step 5: Solve for x
    x = 15,983,026.69/3,907.24
  6. Step 6: Final answer
    x = 4,090.62

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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.