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Finding the Fourth Proportional to 6,034.60, 8,327.73 and 3,676.74

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Solution

The fourth proportional to 6,034.60, 8,327.73 and 3,676.74 is: 5,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.60 : 8,327.73 = 3,676.74 : x
  2. Step 2: Convert to fraction form
    6,034.60/8,327.73 = 3,676.74/x
  3. Step 3: Cross multiply
    6,034.60x = 8,327.73 × 3,676.74
  4. Step 4: Simplify right side
    6,034.60x = 30,618,898.00
  5. Step 5: Solve for x
    x = 30,618,898.00/6,034.60
  6. Step 6: Final answer
    x = 5,073.89

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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.