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Finding the Fourth Proportional to 5,193.30, 7,771.71 and 4,471.59

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Solution

The fourth proportional to 5,193.30, 7,771.71 and 4,471.59 is: 6,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.30 : 7,771.71 = 4,471.59 : x
  2. Step 2: Convert to fraction form
    5,193.30/7,771.71 = 4,471.59/x
  3. Step 3: Cross multiply
    5,193.30x = 7,771.71 × 4,471.59
  4. Step 4: Simplify right side
    5,193.30x = 34,751,900.72
  5. Step 5: Solve for x
    x = 34,751,900.72/5,193.30
  6. Step 6: Final answer
    x = 6,691.68

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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.