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Finding the Fourth Proportional to 3,859.27, 5,788.88 and 937.60

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Solution

The fourth proportional to 3,859.27, 5,788.88 and 937.60 is: 1,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.27 : 5,788.88 = 937.60 : x
  2. Step 2: Convert to fraction form
    3,859.27/5,788.88 = 937.60/x
  3. Step 3: Cross multiply
    3,859.27x = 5,788.88 × 937.60
  4. Step 4: Simplify right side
    3,859.27x = 5,427,634.73
  5. Step 5: Solve for x
    x = 5,427,634.73/3,859.27
  6. Step 6: Final answer
    x = 1,406.39

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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.