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Finding the Fourth Proportional to 5,324.24, 7,347.02 and 3,086.22

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Solution

The fourth proportional to 5,324.24, 7,347.02 and 3,086.22 is: 4,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.24 : 7,347.02 = 3,086.22 : x
  2. Step 2: Convert to fraction form
    5,324.24/7,347.02 = 3,086.22/x
  3. Step 3: Cross multiply
    5,324.24x = 7,347.02 × 3,086.22
  4. Step 4: Simplify right side
    5,324.24x = 22,674,520.06
  5. Step 5: Solve for x
    x = 22,674,520.06/5,324.24
  6. Step 6: Final answer
    x = 4,258.73

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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.