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Finding the Fourth Proportional to 3,069.72, 4,228.80 and 2,536.38

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Solution

The fourth proportional to 3,069.72, 4,228.80 and 2,536.38 is: 3,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.72 : 4,228.80 = 2,536.38 : x
  2. Step 2: Convert to fraction form
    3,069.72/4,228.80 = 2,536.38/x
  3. Step 3: Cross multiply
    3,069.72x = 4,228.80 × 2,536.38
  4. Step 4: Simplify right side
    3,069.72x = 10,725,843.74
  5. Step 5: Solve for x
    x = 10,725,843.74/3,069.72
  6. Step 6: Final answer
    x = 3,494.08

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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.