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Finding the Fourth Proportional to 3,833.62, 5,750.43 and 2,474.26

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Solution

The fourth proportional to 3,833.62, 5,750.43 and 2,474.26 is: 3,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.62 : 5,750.43 = 2,474.26 : x
  2. Step 2: Convert to fraction form
    3,833.62/5,750.43 = 2,474.26/x
  3. Step 3: Cross multiply
    3,833.62x = 5,750.43 × 2,474.26
  4. Step 4: Simplify right side
    3,833.62x = 14,228,058.93
  5. Step 5: Solve for x
    x = 14,228,058.93/3,833.62
  6. Step 6: Final answer
    x = 3,711.39

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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.