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Finding the Fourth Proportional to 6,310.84, 8,708.84 and 3,658.50

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Solution

The fourth proportional to 6,310.84, 8,708.84 and 3,658.50 is: 5,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.84 : 8,708.84 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    6,310.84/8,708.84 = 3,658.50/x
  3. Step 3: Cross multiply
    6,310.84x = 8,708.84 × 3,658.50
  4. Step 4: Simplify right side
    6,310.84x = 31,861,291.14
  5. Step 5: Solve for x
    x = 31,861,291.14/6,310.84
  6. Step 6: Final answer
    x = 5,048.66

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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.