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Finding the Fourth Proportional to 3,175.98, 4,758.21 and 3,106.86

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Solution

The fourth proportional to 3,175.98, 4,758.21 and 3,106.86 is: 4,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.98 : 4,758.21 = 3,106.86 : x
  2. Step 2: Convert to fraction form
    3,175.98/4,758.21 = 3,106.86/x
  3. Step 3: Cross multiply
    3,175.98x = 4,758.21 × 3,106.86
  4. Step 4: Simplify right side
    3,175.98x = 14,783,092.32
  5. Step 5: Solve for x
    x = 14,783,092.32/3,175.98
  6. Step 6: Final answer
    x = 4,654.66

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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.