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Finding the Fourth Proportional to 5,407.41, 8,086.41 and 3,931.59

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Solution

The fourth proportional to 5,407.41, 8,086.41 and 3,931.59 is: 5,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.41 : 8,086.41 = 3,931.59 : x
  2. Step 2: Convert to fraction form
    5,407.41/8,086.41 = 3,931.59/x
  3. Step 3: Cross multiply
    5,407.41x = 8,086.41 × 3,931.59
  4. Step 4: Simplify right side
    5,407.41x = 31,792,429.03
  5. Step 5: Solve for x
    x = 31,792,429.03/5,407.41
  6. Step 6: Final answer
    x = 5,879.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.