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Finding the Fourth Proportional to 5,844.69, 8,768.98 and 1,896.07

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Solution

The fourth proportional to 5,844.69, 8,768.98 and 1,896.07 is: 2,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.69 : 8,768.98 = 1,896.07 : x
  2. Step 2: Convert to fraction form
    5,844.69/8,768.98 = 1,896.07/x
  3. Step 3: Cross multiply
    5,844.69x = 8,768.98 × 1,896.07
  4. Step 4: Simplify right side
    5,844.69x = 16,626,619.02
  5. Step 5: Solve for x
    x = 16,626,619.02/5,844.69
  6. Step 6: Final answer
    x = 2,844.74

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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.