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Finding the Fourth Proportional to 6,175.97, 8,521.50 and 3,658.86

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Solution

The fourth proportional to 6,175.97, 8,521.50 and 3,658.86 is: 5,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.97 : 8,521.50 = 3,658.86 : x
  2. Step 2: Convert to fraction form
    6,175.97/8,521.50 = 3,658.86/x
  3. Step 3: Cross multiply
    6,175.97x = 8,521.50 × 3,658.86
  4. Step 4: Simplify right side
    6,175.97x = 31,178,975.49
  5. Step 5: Solve for x
    x = 31,178,975.49/6,175.97
  6. Step 6: Final answer
    x = 5,048.43

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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.