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Finding the Fourth Proportional to 3,532.64, 4,875.05 and 1,961.03

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Solution

The fourth proportional to 3,532.64, 4,875.05 and 1,961.03 is: 2,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.64 : 4,875.05 = 1,961.03 : x
  2. Step 2: Convert to fraction form
    3,532.64/4,875.05 = 1,961.03/x
  3. Step 3: Cross multiply
    3,532.64x = 4,875.05 × 1,961.03
  4. Step 4: Simplify right side
    3,532.64x = 9,560,136.39
  5. Step 5: Solve for x
    x = 9,560,136.39/3,532.64
  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.