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Finding the Fourth Proportional to 4,704.54, 6,496.57 and 3,028.80

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Solution

The fourth proportional to 4,704.54, 6,496.57 and 3,028.80 is: 4,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.54 : 6,496.57 = 3,028.80 : x
  2. Step 2: Convert to fraction form
    4,704.54/6,496.57 = 3,028.80/x
  3. Step 3: Cross multiply
    4,704.54x = 6,496.57 × 3,028.80
  4. Step 4: Simplify right side
    4,704.54x = 19,676,763.59
  5. Step 5: Solve for x
    x = 19,676,763.59/4,704.54
  6. Step 6: Final answer
    x = 4,182.51

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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.