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Finding the Fourth Proportional to 3,970.97, 5,479.75 and 2,202.54

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Solution

The fourth proportional to 3,970.97, 5,479.75 and 2,202.54 is: 3,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.97 : 5,479.75 = 2,202.54 : x
  2. Step 2: Convert to fraction form
    3,970.97/5,479.75 = 2,202.54/x
  3. Step 3: Cross multiply
    3,970.97x = 5,479.75 × 2,202.54
  4. Step 4: Simplify right side
    3,970.97x = 12,069,368.57
  5. Step 5: Solve for x
    x = 12,069,368.57/3,970.97
  6. Step 6: Final answer
    x = 3,039.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.