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Finding the Fourth Proportional to 3,603.26, 5,404.99 and 1,006.20

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Solution

The fourth proportional to 3,603.26, 5,404.99 and 1,006.20 is: 1,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.26 : 5,404.99 = 1,006.20 : x
  2. Step 2: Convert to fraction form
    3,603.26/5,404.99 = 1,006.20/x
  3. Step 3: Cross multiply
    3,603.26x = 5,404.99 × 1,006.20
  4. Step 4: Simplify right side
    3,603.26x = 5,438,473.91
  5. Step 5: Solve for x
    x = 5,438,473.91/3,603.26
  6. Step 6: Final answer
    x = 1,509.32

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1.5x scale

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.