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Finding the Fourth Proportional to 3,952.25, 5,928.47 and 3,029.46

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Solution

The fourth proportional to 3,952.25, 5,928.47 and 3,029.46 is: 4,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.25 : 5,928.47 = 3,029.46 : x
  2. Step 2: Convert to fraction form
    3,952.25/5,928.47 = 3,029.46/x
  3. Step 3: Cross multiply
    3,952.25x = 5,928.47 × 3,029.46
  4. Step 4: Simplify right side
    3,952.25x = 17,960,062.73
  5. Step 5: Solve for x
    x = 17,960,062.73/3,952.25
  6. Step 6: Final answer
    x = 4,544.26

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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.