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Finding the Fourth Proportional to 4,194.90, 5,789.22 and 2,776.11

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Solution

The fourth proportional to 4,194.90, 5,789.22 and 2,776.11 is: 3,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.90 : 5,789.22 = 2,776.11 : x
  2. Step 2: Convert to fraction form
    4,194.90/5,789.22 = 2,776.11/x
  3. Step 3: Cross multiply
    4,194.90x = 5,789.22 × 2,776.11
  4. Step 4: Simplify right side
    4,194.90x = 16,071,511.53
  5. Step 5: Solve for x
    x = 16,071,511.53/4,194.90
  6. Step 6: Final answer
    x = 3,831.20

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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.