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Finding the Fourth Proportional to 3,647.59, 5,471.42 and 2,771.91

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Solution

The fourth proportional to 3,647.59, 5,471.42 and 2,771.91 is: 4,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.59 : 5,471.42 = 2,771.91 : x
  2. Step 2: Convert to fraction form
    3,647.59/5,471.42 = 2,771.91/x
  3. Step 3: Cross multiply
    3,647.59x = 5,471.42 × 2,771.91
  4. Step 4: Simplify right side
    3,647.59x = 15,166,269.95
  5. Step 5: Solve for x
    x = 15,166,269.95/3,647.59
  6. Step 6: Final answer
    x = 4,157.89

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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.