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Finding the Fourth Proportional to 3,838.47, 5,759.33 and 1,499.19

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Solution

The fourth proportional to 3,838.47, 5,759.33 and 1,499.19 is: 2,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.47 : 5,759.33 = 1,499.19 : x
  2. Step 2: Convert to fraction form
    3,838.47/5,759.33 = 1,499.19/x
  3. Step 3: Cross multiply
    3,838.47x = 5,759.33 × 1,499.19
  4. Step 4: Simplify right side
    3,838.47x = 8,634,322.45
  5. Step 5: Solve for x
    x = 8,634,322.45/3,838.47
  6. Step 6: Final answer
    x = 2,249.42

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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.