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Finding the Fourth Proportional to 3,679.59, 5,077.83 and 2,107.69

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Solution

The fourth proportional to 3,679.59, 5,077.83 and 2,107.69 is: 2,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.59 : 5,077.83 = 2,107.69 : x
  2. Step 2: Convert to fraction form
    3,679.59/5,077.83 = 2,107.69/x
  3. Step 3: Cross multiply
    3,679.59x = 5,077.83 × 2,107.69
  4. Step 4: Simplify right side
    3,679.59x = 10,702,491.51
  5. Step 5: Solve for x
    x = 10,702,491.51/3,679.59
  6. Step 6: Final answer
    x = 2,908.61

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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.