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Finding the Fourth Proportional to 6,310.69, 8,708.62 and 3,658.03

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Solution

The fourth proportional to 6,310.69, 8,708.62 and 3,658.03 is: 5,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.69 : 8,708.62 = 3,658.03 : x
  2. Step 2: Convert to fraction form
    6,310.69/8,708.62 = 3,658.03/x
  3. Step 3: Cross multiply
    6,310.69x = 8,708.62 × 3,658.03
  4. Step 4: Simplify right side
    6,310.69x = 31,856,393.22
  5. Step 5: Solve for x
    x = 31,856,393.22/6,310.69
  6. Step 6: Final answer
    x = 5,048.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.