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Finding the Fourth Proportional to 3,274.69, 4,517.07 and 3,055.99

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Solution

The fourth proportional to 3,274.69, 4,517.07 and 3,055.99 is: 4,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.69 : 4,517.07 = 3,055.99 : x
  2. Step 2: Convert to fraction form
    3,274.69/4,517.07 = 3,055.99/x
  3. Step 3: Cross multiply
    3,274.69x = 4,517.07 × 3,055.99
  4. Step 4: Simplify right side
    3,274.69x = 13,804,120.75
  5. Step 5: Solve for x
    x = 13,804,120.75/3,274.69
  6. Step 6: Final answer
    x = 4,215.40

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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.