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Finding the Fourth Proportional to 3,538.51, 5,307.17 and 1,198.47

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Solution

The fourth proportional to 3,538.51, 5,307.17 and 1,198.47 is: 1,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.51 : 5,307.17 = 1,198.47 : x
  2. Step 2: Convert to fraction form
    3,538.51/5,307.17 = 1,198.47/x
  3. Step 3: Cross multiply
    3,538.51x = 5,307.17 × 1,198.47
  4. Step 4: Simplify right side
    3,538.51x = 6,360,487.03
  5. Step 5: Solve for x
    x = 6,360,487.03/3,538.51
  6. Step 6: Final answer
    x = 1,797.51

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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.