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Finding the Fourth Proportional to 3,603, 5,404.50 and 1,552.44

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Solution

The fourth proportional to 3,603, 5,404.50 and 1,552.44 is: 2,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603 : 5,404.50 = 1,552.44 : x
  2. Step 2: Convert to fraction form
    3,603/5,404.50 = 1,552.44/x
  3. Step 3: Cross multiply
    3,603x = 5,404.50 × 1,552.44
  4. Step 4: Simplify right side
    3,603x = 8,390,161.98
  5. Step 5: Solve for x
    x = 8,390,161.98/3,603
  6. Step 6: Final answer
    x = 2,328.66

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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.