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Finding the Fourth Proportional to 3,937.77, 5,434.20 and 2,169.54

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Solution

The fourth proportional to 3,937.77, 5,434.20 and 2,169.54 is: 2,994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.77 : 5,434.20 = 2,169.54 : x
  2. Step 2: Convert to fraction form
    3,937.77/5,434.20 = 2,169.54/x
  3. Step 3: Cross multiply
    3,937.77x = 5,434.20 × 2,169.54
  4. Step 4: Simplify right side
    3,937.77x = 11,789,714.27
  5. Step 5: Solve for x
    x = 11,789,714.27/3,937.77
  6. Step 6: Final answer
    x = 2,994.01

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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.