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Finding the Fourth Proportional to 3,641.97, 5,465.21 and 1,667.28

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Solution

The fourth proportional to 3,641.97, 5,465.21 and 1,667.28 is: 2,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.97 : 5,465.21 = 1,667.28 : x
  2. Step 2: Convert to fraction form
    3,641.97/5,465.21 = 1,667.28/x
  3. Step 3: Cross multiply
    3,641.97x = 5,465.21 × 1,667.28
  4. Step 4: Simplify right side
    3,641.97x = 9,112,035.33
  5. Step 5: Solve for x
    x = 9,112,035.33/3,641.97
  6. Step 6: Final answer
    x = 2,501.95

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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.