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Finding the Fourth Proportional to 3,712.57, 5,117.92 and 2,826.83

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Solution

The fourth proportional to 3,712.57, 5,117.92 and 2,826.83 is: 3,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.57 : 5,117.92 = 2,826.83 : x
  2. Step 2: Convert to fraction form
    3,712.57/5,117.92 = 2,826.83/x
  3. Step 3: Cross multiply
    3,712.57x = 5,117.92 × 2,826.83
  4. Step 4: Simplify right side
    3,712.57x = 14,467,495.52
  5. Step 5: Solve for x
    x = 14,467,495.52/3,712.57
  6. Step 6: Final answer
    x = 3,896.90

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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.