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Finding the Fourth Proportional to 4,822.76, 7,228.19 and 2,744.51

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Solution

The fourth proportional to 4,822.76, 7,228.19 and 2,744.51 is: 4,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.76 : 7,228.19 = 2,744.51 : x
  2. Step 2: Convert to fraction form
    4,822.76/7,228.19 = 2,744.51/x
  3. Step 3: Cross multiply
    4,822.76x = 7,228.19 × 2,744.51
  4. Step 4: Simplify right side
    4,822.76x = 19,837,789.87
  5. Step 5: Solve for x
    x = 19,837,789.87/4,822.76
  6. Step 6: Final answer
    x = 4,113.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.