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Finding the Fourth Proportional to 3,871.69, 5,807.75 and 1,098.14

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Solution

The fourth proportional to 3,871.69, 5,807.75 and 1,098.14 is: 1,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.69 : 5,807.75 = 1,098.14 : x
  2. Step 2: Convert to fraction form
    3,871.69/5,807.75 = 1,098.14/x
  3. Step 3: Cross multiply
    3,871.69x = 5,807.75 × 1,098.14
  4. Step 4: Simplify right side
    3,871.69x = 6,377,745.37
  5. Step 5: Solve for x
    x = 6,377,745.37/3,871.69
  6. Step 6: Final answer
    x = 1,647.28

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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.