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Finding the Fourth Proportional to 5,744.55, 7,924.35 and 3,697

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Solution

The fourth proportional to 5,744.55, 7,924.35 and 3,697 is: 5,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.55 : 7,924.35 = 3,697 : x
  2. Step 2: Convert to fraction form
    5,744.55/7,924.35 = 3,697/x
  3. Step 3: Cross multiply
    5,744.55x = 7,924.35 × 3,697
  4. Step 4: Simplify right side
    5,744.55x = 29,296,321.95
  5. Step 5: Solve for x
    x = 29,296,321.95/5,744.55
  6. Step 6: Final answer
    x = 5,099.85

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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.