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Finding the Fourth Proportional to 4,490.71, 6,202.73 and 3,170.31

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Solution

The fourth proportional to 4,490.71, 6,202.73 and 3,170.31 is: 4,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.71 : 6,202.73 = 3,170.31 : x
  2. Step 2: Convert to fraction form
    4,490.71/6,202.73 = 3,170.31/x
  3. Step 3: Cross multiply
    4,490.71x = 6,202.73 × 3,170.31
  4. Step 4: Simplify right side
    4,490.71x = 19,664,576.95
  5. Step 5: Solve for x
    x = 19,664,576.95/4,490.71
  6. Step 6: Final answer
    x = 4,378.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.