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Finding the Fourth Proportional to 3,886.91, 5,363.74 and 2,118.50

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Solution

The fourth proportional to 3,886.91, 5,363.74 and 2,118.50 is: 2,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.91 : 5,363.74 = 2,118.50 : x
  2. Step 2: Convert to fraction form
    3,886.91/5,363.74 = 2,118.50/x
  3. Step 3: Cross multiply
    3,886.91x = 5,363.74 × 2,118.50
  4. Step 4: Simplify right side
    3,886.91x = 11,363,067.22
  5. Step 5: Solve for x
    x = 11,363,067.22/3,886.91
  6. Step 6: Final answer
    x = 2,923.42

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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.