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Finding the Fourth Proportional to 4,717.54, 6,509.97 and 2,728.28

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Solution

The fourth proportional to 4,717.54, 6,509.97 and 2,728.28 is: 3,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.54 : 6,509.97 = 2,728.28 : x
  2. Step 2: Convert to fraction form
    4,717.54/6,509.97 = 2,728.28/x
  3. Step 3: Cross multiply
    4,717.54x = 6,509.97 × 2,728.28
  4. Step 4: Simplify right side
    4,717.54x = 17,761,037.23
  5. Step 5: Solve for x
    x = 17,761,037.23/4,717.54
  6. Step 6: Final answer
    x = 3,764.89

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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.