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Finding the Fourth Proportional to 3,851.84, 5,776.23 and 2,098.29

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Solution

The fourth proportional to 3,851.84, 5,776.23 and 2,098.29 is: 3,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.84 : 5,776.23 = 2,098.29 : x
  2. Step 2: Convert to fraction form
    3,851.84/5,776.23 = 2,098.29/x
  3. Step 3: Cross multiply
    3,851.84x = 5,776.23 × 2,098.29
  4. Step 4: Simplify right side
    3,851.84x = 12,120,205.65
  5. Step 5: Solve for x
    x = 12,120,205.65/3,851.84
  6. Step 6: Final answer
    x = 3,146.61

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