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Finding the Fourth Proportional to 5,927.41, 8,176.21 and 3,802.22

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Solution

The fourth proportional to 5,927.41, 8,176.21 and 3,802.22 is: 5,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.41 : 8,176.21 = 3,802.22 : x
  2. Step 2: Convert to fraction form
    5,927.41/8,176.21 = 3,802.22/x
  3. Step 3: Cross multiply
    5,927.41x = 8,176.21 × 3,802.22
  4. Step 4: Simplify right side
    5,927.41x = 31,087,760.12
  5. Step 5: Solve for x
    x = 31,087,760.12/5,927.41
  6. Step 6: Final answer
    x = 5,244.75

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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.