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Finding the Fourth Proportional to 3,533.76, 4,876.22 and 1,961.56

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Solution

The fourth proportional to 3,533.76, 4,876.22 and 1,961.56 is: 2,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.76 : 4,876.22 = 1,961.56 : x
  2. Step 2: Convert to fraction form
    3,533.76/4,876.22 = 1,961.56/x
  3. Step 3: Cross multiply
    3,533.76x = 4,876.22 × 1,961.56
  4. Step 4: Simplify right side
    3,533.76x = 9,564,998.10
  5. Step 5: Solve for x
    x = 9,564,998.10/3,533.76
  6. Step 6: Final answer
    x = 2,706.75

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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.