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Finding the Fourth Proportional to 4,471.69, 6,734.31 and 4,072.66

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Solution

The fourth proportional to 4,471.69, 6,734.31 and 4,072.66 is: 6,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.69 : 6,734.31 = 4,072.66 : x
  2. Step 2: Convert to fraction form
    4,471.69/6,734.31 = 4,072.66/x
  3. Step 3: Cross multiply
    4,471.69x = 6,734.31 × 4,072.66
  4. Step 4: Simplify right side
    4,471.69x = 27,426,554.96
  5. Step 5: Solve for x
    x = 27,426,554.96/4,471.69
  6. Step 6: Final answer
    x = 6,133.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.