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Finding the Fourth Proportional to 5,731.44, 7,908.90 and 4,240.32

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Solution

The fourth proportional to 5,731.44, 7,908.90 and 4,240.32 is: 5,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.44 : 7,908.90 = 4,240.32 : x
  2. Step 2: Convert to fraction form
    5,731.44/7,908.90 = 4,240.32/x
  3. Step 3: Cross multiply
    5,731.44x = 7,908.90 × 4,240.32
  4. Step 4: Simplify right side
    5,731.44x = 33,536,266.85
  5. Step 5: Solve for x
    x = 33,536,266.85/5,731.44
  6. Step 6: Final answer
    x = 5,851.28

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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.