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Finding the Fourth Proportional to 3,876.76, 5,816.58 and 1,797.76

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Solution

The fourth proportional to 3,876.76, 5,816.58 and 1,797.76 is: 2,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.76 : 5,816.58 = 1,797.76 : x
  2. Step 2: Convert to fraction form
    3,876.76/5,816.58 = 1,797.76/x
  3. Step 3: Cross multiply
    3,876.76x = 5,816.58 × 1,797.76
  4. Step 4: Simplify right side
    3,876.76x = 10,456,814.86
  5. Step 5: Solve for x
    x = 10,456,814.86/3,876.76
  6. Step 6: Final answer
    x = 2,697.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.