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Finding the Fourth Proportional to 3,525.46, 4,866.09 and 2,198.38

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Solution

The fourth proportional to 3,525.46, 4,866.09 and 2,198.38 is: 3,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.46 : 4,866.09 = 2,198.38 : x
  2. Step 2: Convert to fraction form
    3,525.46/4,866.09 = 2,198.38/x
  3. Step 3: Cross multiply
    3,525.46x = 4,866.09 × 2,198.38
  4. Step 4: Simplify right side
    3,525.46x = 10,697,494.53
  5. Step 5: Solve for x
    x = 10,697,494.53/3,525.46
  6. Step 6: Final answer
    x = 3,034.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.