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Finding the Fourth Proportional to 3,717.77, 5,129.61 and 2,145.86

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Solution

The fourth proportional to 3,717.77, 5,129.61 and 2,145.86 is: 2,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.77 : 5,129.61 = 2,145.86 : x
  2. Step 2: Convert to fraction form
    3,717.77/5,129.61 = 2,145.86/x
  3. Step 3: Cross multiply
    3,717.77x = 5,129.61 × 2,145.86
  4. Step 4: Simplify right side
    3,717.77x = 11,007,399.27
  5. Step 5: Solve for x
    x = 11,007,399.27/3,717.77
  6. Step 6: Final answer
    x = 2,960.76

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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.