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Finding the Fourth Proportional to 3,532.81, 4,875.31 and 1,961.01

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Solution

The fourth proportional to 3,532.81, 4,875.31 and 1,961.01 is: 2,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.81 : 4,875.31 = 1,961.01 : x
  2. Step 2: Convert to fraction form
    3,532.81/4,875.31 = 1,961.01/x
  3. Step 3: Cross multiply
    3,532.81x = 4,875.31 × 1,961.01
  4. Step 4: Simplify right side
    3,532.81x = 9,560,531.66
  5. Step 5: Solve for x
    x = 9,560,531.66/3,532.81
  6. Step 6: Final answer
    x = 2,706.21

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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.