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Finding the Fourth Proportional to 3,963.66, 5,910.60 and 3,686.64

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Solution

The fourth proportional to 3,963.66, 5,910.60 and 3,686.64 is: 5,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.66 : 5,910.60 = 3,686.64 : x
  2. Step 2: Convert to fraction form
    3,963.66/5,910.60 = 3,686.64/x
  3. Step 3: Cross multiply
    3,963.66x = 5,910.60 × 3,686.64
  4. Step 4: Simplify right side
    3,963.66x = 21,790,254.38
  5. Step 5: Solve for x
    x = 21,790,254.38/3,963.66
  6. Step 6: Final answer
    x = 5,497.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.