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Finding the Fourth Proportional to 4,509.38, 6,764.31 and 1,431.62

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Solution

The fourth proportional to 4,509.38, 6,764.31 and 1,431.62 is: 2,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.38 : 6,764.31 = 1,431.62 : x
  2. Step 2: Convert to fraction form
    4,509.38/6,764.31 = 1,431.62/x
  3. Step 3: Cross multiply
    4,509.38x = 6,764.31 × 1,431.62
  4. Step 4: Simplify right side
    4,509.38x = 9,683,921.48
  5. Step 5: Solve for x
    x = 9,683,921.48/4,509.38
  6. Step 6: Final answer
    x = 2,147.51

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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.