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Finding the Fourth Proportional to 4,509.28, 6,758.01 and 3,264.06

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Solution

The fourth proportional to 4,509.28, 6,758.01 and 3,264.06 is: 4,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.28 : 6,758.01 = 3,264.06 : x
  2. Step 2: Convert to fraction form
    4,509.28/6,758.01 = 3,264.06/x
  3. Step 3: Cross multiply
    4,509.28x = 6,758.01 × 3,264.06
  4. Step 4: Simplify right side
    4,509.28x = 22,058,550.12
  5. Step 5: Solve for x
    x = 22,058,550.12/4,509.28
  6. Step 6: Final answer
    x = 4,891.81

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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.