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Finding the Fourth Proportional to 4,007.70, 5,529 and 2,663.96

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Solution

The fourth proportional to 4,007.70, 5,529 and 2,663.96 is: 3,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.70 : 5,529 = 2,663.96 : x
  2. Step 2: Convert to fraction form
    4,007.70/5,529 = 2,663.96/x
  3. Step 3: Cross multiply
    4,007.70x = 5,529 × 2,663.96
  4. Step 4: Simplify right side
    4,007.70x = 14,729,007.20
  5. Step 5: Solve for x
    x = 14,729,007.20/4,007.70
  6. Step 6: Final answer
    x = 3,675.18

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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.