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Finding the Fourth Proportional to 3,871.33, 5,806.99 and 1,098.01

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Solution

The fourth proportional to 3,871.33, 5,806.99 and 1,098.01 is: 1,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.33 : 5,806.99 = 1,098.01 : x
  2. Step 2: Convert to fraction form
    3,871.33/5,806.99 = 1,098.01/x
  3. Step 3: Cross multiply
    3,871.33x = 5,806.99 × 1,098.01
  4. Step 4: Simplify right side
    3,871.33x = 6,376,104.05
  5. Step 5: Solve for x
    x = 6,376,104.05/3,871.33
  6. Step 6: Final answer
    x = 1,647.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.