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Finding the Fourth Proportional to 3,807.30, 5,233.88 and 3,274.22

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Solution

The fourth proportional to 3,807.30, 5,233.88 and 3,274.22 is: 4,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.30 : 5,233.88 = 3,274.22 : x
  2. Step 2: Convert to fraction form
    3,807.30/5,233.88 = 3,274.22/x
  3. Step 3: Cross multiply
    3,807.30x = 5,233.88 × 3,274.22
  4. Step 4: Simplify right side
    3,807.30x = 17,136,874.57
  5. Step 5: Solve for x
    x = 17,136,874.57/3,807.30
  6. Step 6: Final answer
    x = 4,501.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.