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Finding the Fourth Proportional to 6,114.66, 8,438.46 and 3,757.56

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Solution

The fourth proportional to 6,114.66, 8,438.46 and 3,757.56 is: 5,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.66 : 8,438.46 = 3,757.56 : x
  2. Step 2: Convert to fraction form
    6,114.66/8,438.46 = 3,757.56/x
  3. Step 3: Cross multiply
    6,114.66x = 8,438.46 × 3,757.56
  4. Step 4: Simplify right side
    6,114.66x = 31,708,019.76
  5. Step 5: Solve for x
    x = 31,708,019.76/6,114.66
  6. Step 6: Final answer
    x = 5,185.57

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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.