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Finding the Fourth Proportional to 3,781.36, 5,218.12 and 2,102.77

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Solution

The fourth proportional to 3,781.36, 5,218.12 and 2,102.77 is: 2,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.36 : 5,218.12 = 2,102.77 : x
  2. Step 2: Convert to fraction form
    3,781.36/5,218.12 = 2,102.77/x
  3. Step 3: Cross multiply
    3,781.36x = 5,218.12 × 2,102.77
  4. Step 4: Simplify right side
    3,781.36x = 10,972,506.19
  5. Step 5: Solve for x
    x = 10,972,506.19/3,781.36
  6. Step 6: Final answer
    x = 2,901.74

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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.