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Finding the Fourth Proportional to 3,946.23, 5,946.51 and 3,268.17

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Solution

The fourth proportional to 3,946.23, 5,946.51 and 3,268.17 is: 4,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.23 : 5,946.51 = 3,268.17 : x
  2. Step 2: Convert to fraction form
    3,946.23/5,946.51 = 3,268.17/x
  3. Step 3: Cross multiply
    3,946.23x = 5,946.51 × 3,268.17
  4. Step 4: Simplify right side
    3,946.23x = 19,434,205.59
  5. Step 5: Solve for x
    x = 19,434,205.59/3,946.23
  6. Step 6: Final answer
    x = 4,924.75

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Why These Related Problems?

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