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Finding the Fourth Proportional to 5,509.31, 7,601.90 and 3,151.62

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Solution

The fourth proportional to 5,509.31, 7,601.90 and 3,151.62 is: 4,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.31 : 7,601.90 = 3,151.62 : x
  2. Step 2: Convert to fraction form
    5,509.31/7,601.90 = 3,151.62/x
  3. Step 3: Cross multiply
    5,509.31x = 7,601.90 × 3,151.62
  4. Step 4: Simplify right side
    5,509.31x = 23,958,284.32
  5. Step 5: Solve for x
    x = 23,958,284.32/5,509.31
  6. Step 6: Final answer
    x = 4,348.69

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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.