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Finding the Fourth Proportional to 3,603.14, 5,404.80 and 1,006.07

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Solution

The fourth proportional to 3,603.14, 5,404.80 and 1,006.07 is: 1,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.14 : 5,404.80 = 1,006.07 : x
  2. Step 2: Convert to fraction form
    3,603.14/5,404.80 = 1,006.07/x
  3. Step 3: Cross multiply
    3,603.14x = 5,404.80 × 1,006.07
  4. Step 4: Simplify right side
    3,603.14x = 5,437,609.65
  5. Step 5: Solve for x
    x = 5,437,609.65/3,603.14
  6. Step 6: Final answer
    x = 1,509.13

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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.