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Finding the Fourth Proportional to 6,147.96, 8,484.24 and 3,353.46

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Solution

The fourth proportional to 6,147.96, 8,484.24 and 3,353.46 is: 4,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.96 : 8,484.24 = 3,353.46 : x
  2. Step 2: Convert to fraction form
    6,147.96/8,484.24 = 3,353.46/x
  3. Step 3: Cross multiply
    6,147.96x = 8,484.24 × 3,353.46
  4. Step 4: Simplify right side
    6,147.96x = 28,451,559.47
  5. Step 5: Solve for x
    x = 28,451,559.47/6,147.96
  6. Step 6: Final answer
    x = 4,627.80

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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.