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Finding the Fourth Proportional to 5,672.06, 7,829.04 and 3,993.86

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Solution

The fourth proportional to 5,672.06, 7,829.04 and 3,993.86 is: 5,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.06 : 7,829.04 = 3,993.86 : x
  2. Step 2: Convert to fraction form
    5,672.06/7,829.04 = 3,993.86/x
  3. Step 3: Cross multiply
    5,672.06x = 7,829.04 × 3,993.86
  4. Step 4: Simplify right side
    5,672.06x = 31,268,089.69
  5. Step 5: Solve for x
    x = 31,268,089.69/5,672.06
  6. Step 6: Final answer
    x = 5,512.65

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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.