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Finding the Fourth Proportional to 3,651.86, 5,039.34 and 2,080.46

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Solution

The fourth proportional to 3,651.86, 5,039.34 and 2,080.46 is: 2,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.86 : 5,039.34 = 2,080.46 : x
  2. Step 2: Convert to fraction form
    3,651.86/5,039.34 = 2,080.46/x
  3. Step 3: Cross multiply
    3,651.86x = 5,039.34 × 2,080.46
  4. Step 4: Simplify right side
    3,651.86x = 10,484,145.30
  5. Step 5: Solve for x
    x = 10,484,145.30/3,651.86
  6. Step 6: Final answer
    x = 2,870.91

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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.