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Finding the Fourth Proportional to 3,844, 5,737.91 and 3,299.68

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Solution

The fourth proportional to 3,844, 5,737.91 and 3,299.68 is: 4,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844 : 5,737.91 = 3,299.68 : x
  2. Step 2: Convert to fraction form
    3,844/5,737.91 = 3,299.68/x
  3. Step 3: Cross multiply
    3,844x = 5,737.91 × 3,299.68
  4. Step 4: Simplify right side
    3,844x = 18,933,266.87
  5. Step 5: Solve for x
    x = 18,933,266.87/3,844
  6. Step 6: Final answer
    x = 4,925.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.