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Finding the Fourth Proportional to 5,731.02, 7,908.74 and 3,213.12

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Solution

The fourth proportional to 5,731.02, 7,908.74 and 3,213.12 is: 4,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.02 : 7,908.74 = 3,213.12 : x
  2. Step 2: Convert to fraction form
    5,731.02/7,908.74 = 3,213.12/x
  3. Step 3: Cross multiply
    5,731.02x = 7,908.74 × 3,213.12
  4. Step 4: Simplify right side
    5,731.02x = 25,411,761.87
  5. Step 5: Solve for x
    x = 25,411,761.87/5,731.02
  6. Step 6: Final answer
    x = 4,434.07

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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.