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Finding the Fourth Proportional to 3,764.46, 5,194.35 and 2,366.22

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Solution

The fourth proportional to 3,764.46, 5,194.35 and 2,366.22 is: 3,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.46 : 5,194.35 = 2,366.22 : x
  2. Step 2: Convert to fraction form
    3,764.46/5,194.35 = 2,366.22/x
  3. Step 3: Cross multiply
    3,764.46x = 5,194.35 × 2,366.22
  4. Step 4: Simplify right side
    3,764.46x = 12,290,974.86
  5. Step 5: Solve for x
    x = 12,290,974.86/3,764.46
  6. Step 6: Final answer
    x = 3,265.00

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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.