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Finding the Fourth Proportional to 4,509.44, 6,764.20 and 1,389.48

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Solution

The fourth proportional to 4,509.44, 6,764.20 and 1,389.48 is: 2,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.44 : 6,764.20 = 1,389.48 : x
  2. Step 2: Convert to fraction form
    4,509.44/6,764.20 = 1,389.48/x
  3. Step 3: Cross multiply
    4,509.44x = 6,764.20 × 1,389.48
  4. Step 4: Simplify right side
    4,509.44x = 9,398,720.62
  5. Step 5: Solve for x
    x = 9,398,720.62/4,509.44
  6. Step 6: Final answer
    x = 2,084.23

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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.