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Finding the Fourth Proportional to 3,922.29, 5,407.47 and 3,360.33

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Solution

The fourth proportional to 3,922.29, 5,407.47 and 3,360.33 is: 4,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.29 : 5,407.47 = 3,360.33 : x
  2. Step 2: Convert to fraction form
    3,922.29/5,407.47 = 3,360.33/x
  3. Step 3: Cross multiply
    3,922.29x = 5,407.47 × 3,360.33
  4. Step 4: Simplify right side
    3,922.29x = 18,170,883.67
  5. Step 5: Solve for x
    x = 18,170,883.67/3,922.29
  6. Step 6: Final answer
    x = 4,632.72

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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.