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Finding the Fourth Proportional to 4,700.97, 6,480.41 and 3,704.27

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Solution

The fourth proportional to 4,700.97, 6,480.41 and 3,704.27 is: 5,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.97 : 6,480.41 = 3,704.27 : x
  2. Step 2: Convert to fraction form
    4,700.97/6,480.41 = 3,704.27/x
  3. Step 3: Cross multiply
    4,700.97x = 6,480.41 × 3,704.27
  4. Step 4: Simplify right side
    4,700.97x = 24,005,137.43
  5. Step 5: Solve for x
    x = 24,005,137.43/4,700.97
  6. Step 6: Final answer
    x = 5,106.42

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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.