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Finding the Fourth Proportional to 3,656.91, 5,046.10 and 2,063.47

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Solution

The fourth proportional to 3,656.91, 5,046.10 and 2,063.47 is: 2,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.91 : 5,046.10 = 2,063.47 : x
  2. Step 2: Convert to fraction form
    3,656.91/5,046.10 = 2,063.47/x
  3. Step 3: Cross multiply
    3,656.91x = 5,046.10 × 2,063.47
  4. Step 4: Simplify right side
    3,656.91x = 10,412,450.74
  5. Step 5: Solve for x
    x = 10,412,450.74/3,656.91
  6. Step 6: Final answer
    x = 2,847.34

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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.