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Finding the Fourth Proportional to 3,533.52, 4,876.05 and 1,961.50

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Solution

The fourth proportional to 3,533.52, 4,876.05 and 1,961.50 is: 2,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.52 : 4,876.05 = 1,961.50 : x
  2. Step 2: Convert to fraction form
    3,533.52/4,876.05 = 1,961.50/x
  3. Step 3: Cross multiply
    3,533.52x = 4,876.05 × 1,961.50
  4. Step 4: Simplify right side
    3,533.52x = 9,564,372.08
  5. Step 5: Solve for x
    x = 9,564,372.08/3,533.52
  6. Step 6: Final answer
    x = 2,706.75

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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.