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Finding the Fourth Proportional to 5,949.51, 8,917.83 and 3,871

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Solution

The fourth proportional to 5,949.51, 8,917.83 and 3,871 is: 5,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.51 : 8,917.83 = 3,871 : x
  2. Step 2: Convert to fraction form
    5,949.51/8,917.83 = 3,871/x
  3. Step 3: Cross multiply
    5,949.51x = 8,917.83 × 3,871
  4. Step 4: Simplify right side
    5,949.51x = 34,520,919.93
  5. Step 5: Solve for x
    x = 34,520,919.93/5,949.51
  6. Step 6: Final answer
    x = 5,802.31

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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.