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Finding the Fourth Proportional to 4,105.64, 5,664.16 and 2,688.90

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Solution

The fourth proportional to 4,105.64, 5,664.16 and 2,688.90 is: 3,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.64 : 5,664.16 = 2,688.90 : x
  2. Step 2: Convert to fraction form
    4,105.64/5,664.16 = 2,688.90/x
  3. Step 3: Cross multiply
    4,105.64x = 5,664.16 × 2,688.90
  4. Step 4: Simplify right side
    4,105.64x = 15,230,359.82
  5. Step 5: Solve for x
    x = 15,230,359.82/4,105.64
  6. Step 6: Final answer
    x = 3,709.62

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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.