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Finding the Fourth Proportional to 3,614.05, 5,372.31 and 3,507.64

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Solution

The fourth proportional to 3,614.05, 5,372.31 and 3,507.64 is: 5,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.05 : 5,372.31 = 3,507.64 : x
  2. Step 2: Convert to fraction form
    3,614.05/5,372.31 = 3,507.64/x
  3. Step 3: Cross multiply
    3,614.05x = 5,372.31 × 3,507.64
  4. Step 4: Simplify right side
    3,614.05x = 18,844,129.45
  5. Step 5: Solve for x
    x = 18,844,129.45/3,614.05
  6. Step 6: Final answer
    x = 5,214.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.