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Finding the Fourth Proportional to 3,969.84, 5,478.33 and 2,201.41

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Solution

The fourth proportional to 3,969.84, 5,478.33 and 2,201.41 is: 3,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.84 : 5,478.33 = 2,201.41 : x
  2. Step 2: Convert to fraction form
    3,969.84/5,478.33 = 2,201.41/x
  3. Step 3: Cross multiply
    3,969.84x = 5,478.33 × 2,201.41
  4. Step 4: Simplify right side
    3,969.84x = 12,060,050.45
  5. Step 5: Solve for x
    x = 12,060,050.45/3,969.84
  6. Step 6: Final answer
    x = 3,037.92

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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.