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Finding the Fourth Proportional to 3,532.78, 4,875.27 and 1,961.02

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Solution

The fourth proportional to 3,532.78, 4,875.27 and 1,961.02 is: 2,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.78 : 4,875.27 = 1,961.02 : x
  2. Step 2: Convert to fraction form
    3,532.78/4,875.27 = 1,961.02/x
  3. Step 3: Cross multiply
    3,532.78x = 4,875.27 × 1,961.02
  4. Step 4: Simplify right side
    3,532.78x = 9,560,501.98
  5. Step 5: Solve for x
    x = 9,560,501.98/3,532.78
  6. Step 6: Final answer
    x = 2,706.23

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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.