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Finding the Fourth Proportional to 3,758.25, 5,637.39 and 1,022.25

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Solution

The fourth proportional to 3,758.25, 5,637.39 and 1,022.25 is: 1,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.25 : 5,637.39 = 1,022.25 : x
  2. Step 2: Convert to fraction form
    3,758.25/5,637.39 = 1,022.25/x
  3. Step 3: Cross multiply
    3,758.25x = 5,637.39 × 1,022.25
  4. Step 4: Simplify right side
    3,758.25x = 5,762,821.93
  5. Step 5: Solve for x
    x = 5,762,821.93/3,758.25
  6. Step 6: Final answer
    x = 1,533.38

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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.