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Finding the Fourth Proportional to 3,669.52, 5,064.84 and 2,098.52

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Solution

The fourth proportional to 3,669.52, 5,064.84 and 2,098.52 is: 2,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.52 : 5,064.84 = 2,098.52 : x
  2. Step 2: Convert to fraction form
    3,669.52/5,064.84 = 2,098.52/x
  3. Step 3: Cross multiply
    3,669.52x = 5,064.84 × 2,098.52
  4. Step 4: Simplify right side
    3,669.52x = 10,628,668.04
  5. Step 5: Solve for x
    x = 10,628,668.04/3,669.52
  6. Step 6: Final answer
    x = 2,896.47

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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.