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Finding the Fourth Proportional to 3,843.25, 5,763.59 and 1,502.65

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Solution

The fourth proportional to 3,843.25, 5,763.59 and 1,502.65 is: 2,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.25 : 5,763.59 = 1,502.65 : x
  2. Step 2: Convert to fraction form
    3,843.25/5,763.59 = 1,502.65/x
  3. Step 3: Cross multiply
    3,843.25x = 5,763.59 × 1,502.65
  4. Step 4: Simplify right side
    3,843.25x = 8,660,658.51
  5. Step 5: Solve for x
    x = 8,660,658.51/3,843.25
  6. Step 6: Final answer
    x = 2,253.47

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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.