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Finding the Fourth Proportional to 4,471.47, 6,707.23 and 1,838.57

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Solution

The fourth proportional to 4,471.47, 6,707.23 and 1,838.57 is: 2,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.47 : 6,707.23 = 1,838.57 : x
  2. Step 2: Convert to fraction form
    4,471.47/6,707.23 = 1,838.57/x
  3. Step 3: Cross multiply
    4,471.47x = 6,707.23 × 1,838.57
  4. Step 4: Simplify right side
    4,471.47x = 12,331,673.73
  5. Step 5: Solve for x
    x = 12,331,673.73/4,471.47
  6. Step 6: Final answer
    x = 2,757.86

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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.