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Finding the Fourth Proportional to 3,843.81, 5,758.47 and 3,064.68

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Solution

The fourth proportional to 3,843.81, 5,758.47 and 3,064.68 is: 4,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.81 : 5,758.47 = 3,064.68 : x
  2. Step 2: Convert to fraction form
    3,843.81/5,758.47 = 3,064.68/x
  3. Step 3: Cross multiply
    3,843.81x = 5,758.47 × 3,064.68
  4. Step 4: Simplify right side
    3,843.81x = 17,647,867.84
  5. Step 5: Solve for x
    x = 17,647,867.84/3,843.81
  6. Step 6: Final answer
    x = 4,591.24

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1.5x scale

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.