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Finding the Fourth Proportional to 6,338.44, 8,749.40 and 4,771.08

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Solution

The fourth proportional to 6,338.44, 8,749.40 and 4,771.08 is: 6,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.44 : 8,749.40 = 4,771.08 : x
  2. Step 2: Convert to fraction form
    6,338.44/8,749.40 = 4,771.08/x
  3. Step 3: Cross multiply
    6,338.44x = 8,749.40 × 4,771.08
  4. Step 4: Simplify right side
    6,338.44x = 41,744,087.35
  5. Step 5: Solve for x
    x = 41,744,087.35/6,338.44
  6. Step 6: Final answer
    x = 6,585.86

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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.