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Finding the Fourth Proportional to 4,544.94, 6,822.18 and 4,028.25

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Solution

The fourth proportional to 4,544.94, 6,822.18 and 4,028.25 is: 6,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.94 : 6,822.18 = 4,028.25 : x
  2. Step 2: Convert to fraction form
    4,544.94/6,822.18 = 4,028.25/x
  3. Step 3: Cross multiply
    4,544.94x = 6,822.18 × 4,028.25
  4. Step 4: Simplify right side
    4,544.94x = 27,481,446.59
  5. Step 5: Solve for x
    x = 27,481,446.59/4,544.94
  6. Step 6: Final answer
    x = 6,046.60

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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.