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Finding the Fourth Proportional to 4,471.44, 6,705.60 and 1,838.20

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Solution

The fourth proportional to 4,471.44, 6,705.60 and 1,838.20 is: 2,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.44 : 6,705.60 = 1,838.20 : x
  2. Step 2: Convert to fraction form
    4,471.44/6,705.60 = 1,838.20/x
  3. Step 3: Cross multiply
    4,471.44x = 6,705.60 × 1,838.20
  4. Step 4: Simplify right side
    4,471.44x = 12,326,233.92
  5. Step 5: Solve for x
    x = 12,326,233.92/4,471.44
  6. Step 6: Final answer
    x = 2,756.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.