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Finding the Fourth Proportional to 3,552.98, 5,326.14 and 1,361.84

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Solution

The fourth proportional to 3,552.98, 5,326.14 and 1,361.84 is: 2,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.98 : 5,326.14 = 1,361.84 : x
  2. Step 2: Convert to fraction form
    3,552.98/5,326.14 = 1,361.84/x
  3. Step 3: Cross multiply
    3,552.98x = 5,326.14 × 1,361.84
  4. Step 4: Simplify right side
    3,552.98x = 7,253,350.50
  5. Step 5: Solve for x
    x = 7,253,350.50/3,552.98
  6. Step 6: Final answer
    x = 2,041.48

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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.