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Finding the Fourth Proportional to 3,900.26, 5,800.24 and 3,777.24

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Solution

The fourth proportional to 3,900.26, 5,800.24 and 3,777.24 is: 5,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.26 : 5,800.24 = 3,777.24 : x
  2. Step 2: Convert to fraction form
    3,900.26/5,800.24 = 3,777.24/x
  3. Step 3: Cross multiply
    3,900.26x = 5,800.24 × 3,777.24
  4. Step 4: Simplify right side
    3,900.26x = 21,908,898.54
  5. Step 5: Solve for x
    x = 21,908,898.54/3,900.26
  6. Step 6: Final answer
    x = 5,617.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.