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Finding the Fourth Proportional to 3,772.36, 5,659.04 and 1,580.57

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Solution

The fourth proportional to 3,772.36, 5,659.04 and 1,580.57 is: 2,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.36 : 5,659.04 = 1,580.57 : x
  2. Step 2: Convert to fraction form
    3,772.36/5,659.04 = 1,580.57/x
  3. Step 3: Cross multiply
    3,772.36x = 5,659.04 × 1,580.57
  4. Step 4: Simplify right side
    3,772.36x = 8,944,508.85
  5. Step 5: Solve for x
    x = 8,944,508.85/3,772.36
  6. Step 6: Final answer
    x = 2,371.06

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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.