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Finding the Fourth Proportional to 3,741.72, 5,614.19 and 2,008.32

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Solution

The fourth proportional to 3,741.72, 5,614.19 and 2,008.32 is: 3,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.72 : 5,614.19 = 2,008.32 : x
  2. Step 2: Convert to fraction form
    3,741.72/5,614.19 = 2,008.32/x
  3. Step 3: Cross multiply
    3,741.72x = 5,614.19 × 2,008.32
  4. Step 4: Simplify right side
    3,741.72x = 11,275,090.06
  5. Step 5: Solve for x
    x = 11,275,090.06/3,741.72
  6. Step 6: Final answer
    x = 3,013.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.