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Finding the Fourth Proportional to 3,964.07, 5,969.27 and 2,931.35

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Solution

The fourth proportional to 3,964.07, 5,969.27 and 2,931.35 is: 4,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.07 : 5,969.27 = 2,931.35 : x
  2. Step 2: Convert to fraction form
    3,964.07/5,969.27 = 2,931.35/x
  3. Step 3: Cross multiply
    3,964.07x = 5,969.27 × 2,931.35
  4. Step 4: Simplify right side
    3,964.07x = 17,498,016.57
  5. Step 5: Solve for x
    x = 17,498,016.57/3,964.07
  6. Step 6: Final answer
    x = 4,414.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.