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Finding the Fourth Proportional to 4,168.59, 5,749.94 and 2,674.14

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Solution

The fourth proportional to 4,168.59, 5,749.94 and 2,674.14 is: 3,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.59 : 5,749.94 = 2,674.14 : x
  2. Step 2: Convert to fraction form
    4,168.59/5,749.94 = 2,674.14/x
  3. Step 3: Cross multiply
    4,168.59x = 5,749.94 × 2,674.14
  4. Step 4: Simplify right side
    4,168.59x = 15,376,144.55
  5. Step 5: Solve for x
    x = 15,376,144.55/4,168.59
  6. Step 6: Final answer
    x = 3,688.57

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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.