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Finding the Fourth Proportional to 4,152.56, 6,227.14 and 2,071.80

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Solution

The fourth proportional to 4,152.56, 6,227.14 and 2,071.80 is: 3,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.56 : 6,227.14 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    4,152.56/6,227.14 = 2,071.80/x
  3. Step 3: Cross multiply
    4,152.56x = 6,227.14 × 2,071.80
  4. Step 4: Simplify right side
    4,152.56x = 12,901,388.65
  5. Step 5: Solve for x
    x = 12,901,388.65/4,152.56
  6. Step 6: Final answer
    x = 3,106.85

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