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Finding the Fourth Proportional to 6,310.42, 8,694.60 and 4,210.90

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Solution

The fourth proportional to 6,310.42, 8,694.60 and 4,210.90 is: 5,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.42 : 8,694.60 = 4,210.90 : x
  2. Step 2: Convert to fraction form
    6,310.42/8,694.60 = 4,210.90/x
  3. Step 3: Cross multiply
    6,310.42x = 8,694.60 × 4,210.90
  4. Step 4: Simplify right side
    6,310.42x = 36,612,091.14
  5. Step 5: Solve for x
    x = 36,612,091.14/6,310.42
  6. Step 6: Final answer
    x = 5,801.85

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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.