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Finding the Fourth Proportional to 3,667.97, 5,503.12 and 1,202.24

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Solution

The fourth proportional to 3,667.97, 5,503.12 and 1,202.24 is: 1,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.97 : 5,503.12 = 1,202.24 : x
  2. Step 2: Convert to fraction form
    3,667.97/5,503.12 = 1,202.24/x
  3. Step 3: Cross multiply
    3,667.97x = 5,503.12 × 1,202.24
  4. Step 4: Simplify right side
    3,667.97x = 6,616,081.74
  5. Step 5: Solve for x
    x = 6,616,081.74/3,667.97
  6. Step 6: Final answer
    x = 1,803.74

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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.