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Finding the Fourth Proportional to 3,603.42, 5,404.68 and 1,006.56

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Solution

The fourth proportional to 3,603.42, 5,404.68 and 1,006.56 is: 1,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.42 : 5,404.68 = 1,006.56 : x
  2. Step 2: Convert to fraction form
    3,603.42/5,404.68 = 1,006.56/x
  3. Step 3: Cross multiply
    3,603.42x = 5,404.68 × 1,006.56
  4. Step 4: Simplify right side
    3,603.42x = 5,440,134.70
  5. Step 5: Solve for x
    x = 5,440,134.70/3,603.42
  6. Step 6: Final answer
    x = 1,509.71

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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.