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Finding the Fourth Proportional to 5,241.66, 7,845.44 and 3,854.72

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Solution

The fourth proportional to 5,241.66, 7,845.44 and 3,854.72 is: 5,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.66 : 7,845.44 = 3,854.72 : x
  2. Step 2: Convert to fraction form
    5,241.66/7,845.44 = 3,854.72/x
  3. Step 3: Cross multiply
    5,241.66x = 7,845.44 × 3,854.72
  4. Step 4: Simplify right side
    5,241.66x = 30,241,974.48
  5. Step 5: Solve for x
    x = 30,241,974.48/5,241.66
  6. Step 6: Final answer
    x = 5,769.54

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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.