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Finding the Fourth Proportional to 3,874.04, 5,347.81 and 2,616.80

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Solution

The fourth proportional to 3,874.04, 5,347.81 and 2,616.80 is: 3,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.04 : 5,347.81 = 2,616.80 : x
  2. Step 2: Convert to fraction form
    3,874.04/5,347.81 = 2,616.80/x
  3. Step 3: Cross multiply
    3,874.04x = 5,347.81 × 2,616.80
  4. Step 4: Simplify right side
    3,874.04x = 13,994,149.21
  5. Step 5: Solve for x
    x = 13,994,149.21/3,874.04
  6. Step 6: Final answer
    x = 3,612.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.