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Finding the Fourth Proportional to 5,961.36, 8,942.49 and 1,578.69

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Solution

The fourth proportional to 5,961.36, 8,942.49 and 1,578.69 is: 2,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.36 : 8,942.49 = 1,578.69 : x
  2. Step 2: Convert to fraction form
    5,961.36/8,942.49 = 1,578.69/x
  3. Step 3: Cross multiply
    5,961.36x = 8,942.49 × 1,578.69
  4. Step 4: Simplify right side
    5,961.36x = 14,117,419.54
  5. Step 5: Solve for x
    x = 14,117,419.54/5,961.36
  6. Step 6: Final answer
    x = 2,368.15

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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.