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Finding the Fourth Proportional to 4,196.66, 6,295.35 and 2,007.14

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Solution

The fourth proportional to 4,196.66, 6,295.35 and 2,007.14 is: 3,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.66 : 6,295.35 = 2,007.14 : x
  2. Step 2: Convert to fraction form
    4,196.66/6,295.35 = 2,007.14/x
  3. Step 3: Cross multiply
    4,196.66x = 6,295.35 × 2,007.14
  4. Step 4: Simplify right side
    4,196.66x = 12,635,648.80
  5. Step 5: Solve for x
    x = 12,635,648.80/4,196.66
  6. Step 6: Final answer
    x = 3,010.88

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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.