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Finding the Fourth Proportional to 5,173.08, 7,757.34 and 1,474.47

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Solution

The fourth proportional to 5,173.08, 7,757.34 and 1,474.47 is: 2,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.08 : 7,757.34 = 1,474.47 : x
  2. Step 2: Convert to fraction form
    5,173.08/7,757.34 = 1,474.47/x
  3. Step 3: Cross multiply
    5,173.08x = 7,757.34 × 1,474.47
  4. Step 4: Simplify right side
    5,173.08x = 11,437,965.11
  5. Step 5: Solve for x
    x = 11,437,965.11/5,173.08
  6. Step 6: Final answer
    x = 2,211.06

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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.