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Finding the Fourth Proportional to 5,674.65, 8,511.98 and 4,107.30

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Solution

The fourth proportional to 5,674.65, 8,511.98 and 4,107.30 is: 6,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.65 : 8,511.98 = 4,107.30 : x
  2. Step 2: Convert to fraction form
    5,674.65/8,511.98 = 4,107.30/x
  3. Step 3: Cross multiply
    5,674.65x = 8,511.98 × 4,107.30
  4. Step 4: Simplify right side
    5,674.65x = 34,961,234.92
  5. Step 5: Solve for x
    x = 34,961,234.92/5,674.65
  6. Step 6: Final answer
    x = 6,160.95

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.