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Finding the Fourth Proportional to 3,772.69, 5,202.90 and 2,356.51

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Solution

The fourth proportional to 3,772.69, 5,202.90 and 2,356.51 is: 3,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.69 : 5,202.90 = 2,356.51 : x
  2. Step 2: Convert to fraction form
    3,772.69/5,202.90 = 2,356.51/x
  3. Step 3: Cross multiply
    3,772.69x = 5,202.90 × 2,356.51
  4. Step 4: Simplify right side
    3,772.69x = 12,260,682.63
  5. Step 5: Solve for x
    x = 12,260,682.63/3,772.69
  6. Step 6: Final answer
    x = 3,249.85

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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.