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Finding the Fourth Proportional to 3,603.25, 5,404.88 and 867.25

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Solution

The fourth proportional to 3,603.25, 5,404.88 and 867.25 is: 1,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.25 : 5,404.88 = 867.25 : x
  2. Step 2: Convert to fraction form
    3,603.25/5,404.88 = 867.25/x
  3. Step 3: Cross multiply
    3,603.25x = 5,404.88 × 867.25
  4. Step 4: Simplify right side
    3,603.25x = 4,687,382.18
  5. Step 5: Solve for x
    x = 4,687,382.18/3,603.25
  6. Step 6: Final answer
    x = 1,300.88

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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.