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Finding the Fourth Proportional to 5,895.93, 8,845.74 and 2,198.46

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Solution

The fourth proportional to 5,895.93, 8,845.74 and 2,198.46 is: 3,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.93 : 8,845.74 = 2,198.46 : x
  2. Step 2: Convert to fraction form
    5,895.93/8,845.74 = 2,198.46/x
  3. Step 3: Cross multiply
    5,895.93x = 8,845.74 × 2,198.46
  4. Step 4: Simplify right side
    5,895.93x = 19,447,005.56
  5. Step 5: Solve for x
    x = 19,447,005.56/5,895.93
  6. Step 6: Final answer
    x = 3,298.38

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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.