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Finding the Fourth Proportional to 3,463.87, 4,785.20 and 2,997.31

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Solution

The fourth proportional to 3,463.87, 4,785.20 and 2,997.31 is: 4,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.87 : 4,785.20 = 2,997.31 : x
  2. Step 2: Convert to fraction form
    3,463.87/4,785.20 = 2,997.31/x
  3. Step 3: Cross multiply
    3,463.87x = 4,785.20 × 2,997.31
  4. Step 4: Simplify right side
    3,463.87x = 14,342,727.81
  5. Step 5: Solve for x
    x = 14,342,727.81/3,463.87
  6. Step 6: Final answer
    x = 4,140.67

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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.