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Finding the Fourth Proportional to 3,738.86, 5,154.24 and 2,616.32

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Solution

The fourth proportional to 3,738.86, 5,154.24 and 2,616.32 is: 3,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.86 : 5,154.24 = 2,616.32 : x
  2. Step 2: Convert to fraction form
    3,738.86/5,154.24 = 2,616.32/x
  3. Step 3: Cross multiply
    3,738.86x = 5,154.24 × 2,616.32
  4. Step 4: Simplify right side
    3,738.86x = 13,485,141.20
  5. Step 5: Solve for x
    x = 13,485,141.20/3,738.86
  6. Step 6: Final answer
    x = 3,606.75

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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.