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Finding the Fourth Proportional to 3,471.45, 5,232.17 and 2,990.31

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Solution

The fourth proportional to 3,471.45, 5,232.17 and 2,990.31 is: 4,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.45 : 5,232.17 = 2,990.31 : x
  2. Step 2: Convert to fraction form
    3,471.45/5,232.17 = 2,990.31/x
  3. Step 3: Cross multiply
    3,471.45x = 5,232.17 × 2,990.31
  4. Step 4: Simplify right side
    3,471.45x = 15,645,795.32
  5. Step 5: Solve for x
    x = 15,645,795.32/3,471.45
  6. Step 6: Final answer
    x = 4,506.99

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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.