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Finding the Fourth Proportional to 6,311.39, 8,712.66 and 3,658.30

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Solution

The fourth proportional to 6,311.39, 8,712.66 and 3,658.30 is: 5,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.39 : 8,712.66 = 3,658.30 : x
  2. Step 2: Convert to fraction form
    6,311.39/8,712.66 = 3,658.30/x
  3. Step 3: Cross multiply
    6,311.39x = 8,712.66 × 3,658.30
  4. Step 4: Simplify right side
    6,311.39x = 31,873,516.01
  5. Step 5: Solve for x
    x = 31,873,516.01/6,311.39
  6. Step 6: Final answer
    x = 5,050.16

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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.