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Finding the Fourth Proportional to 5,366.83, 7,408.24 and 3,129.41

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Solution

The fourth proportional to 5,366.83, 7,408.24 and 3,129.41 is: 4,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.83 : 7,408.24 = 3,129.41 : x
  2. Step 2: Convert to fraction form
    5,366.83/7,408.24 = 3,129.41/x
  3. Step 3: Cross multiply
    5,366.83x = 7,408.24 × 3,129.41
  4. Step 4: Simplify right side
    5,366.83x = 23,183,375.47
  5. Step 5: Solve for x
    x = 23,183,375.47/5,366.83
  6. Step 6: Final answer
    x = 4,319.75

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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.