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Finding the Fourth Proportional to 3,697.46, 5,104.37 and 2,856.27

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Solution

The fourth proportional to 3,697.46, 5,104.37 and 2,856.27 is: 3,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.46 : 5,104.37 = 2,856.27 : x
  2. Step 2: Convert to fraction form
    3,697.46/5,104.37 = 2,856.27/x
  3. Step 3: Cross multiply
    3,697.46x = 5,104.37 × 2,856.27
  4. Step 4: Simplify right side
    3,697.46x = 14,579,444.62
  5. Step 5: Solve for x
    x = 14,579,444.62/3,697.46
  6. Step 6: Final answer
    x = 3,943.10

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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.