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Finding the Fourth Proportional to 2,930.58, 4,395.87 and 2,471.31

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Solution

The fourth proportional to 2,930.58, 4,395.87 and 2,471.31 is: 3,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.58 : 4,395.87 = 2,471.31 : x
  2. Step 2: Convert to fraction form
    2,930.58/4,395.87 = 2,471.31/x
  3. Step 3: Cross multiply
    2,930.58x = 4,395.87 × 2,471.31
  4. Step 4: Simplify right side
    2,930.58x = 10,863,557.49
  5. Step 5: Solve for x
    x = 10,863,557.49/2,930.58
  6. Step 6: Final answer
    x = 3,706.97

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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.