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Finding the Fourth Proportional to 5,221.74, 7,206.10 and 2,864

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Solution

The fourth proportional to 5,221.74, 7,206.10 and 2,864 is: 3,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.74 : 7,206.10 = 2,864 : x
  2. Step 2: Convert to fraction form
    5,221.74/7,206.10 = 2,864/x
  3. Step 3: Cross multiply
    5,221.74x = 7,206.10 × 2,864
  4. Step 4: Simplify right side
    5,221.74x = 20,638,270.40
  5. Step 5: Solve for x
    x = 20,638,270.40/5,221.74
  6. Step 6: Final answer
    x = 3,952.37

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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.