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Finding the Fourth Proportional to 6,094.53, 8,410.61 and 3,737.97

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Solution

The fourth proportional to 6,094.53, 8,410.61 and 3,737.97 is: 5,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.53 : 8,410.61 = 3,737.97 : x
  2. Step 2: Convert to fraction form
    6,094.53/8,410.61 = 3,737.97/x
  3. Step 3: Cross multiply
    6,094.53x = 8,410.61 × 3,737.97
  4. Step 4: Simplify right side
    6,094.53x = 31,438,589.17
  5. Step 5: Solve for x
    x = 31,438,589.17/6,094.53
  6. Step 6: Final answer
    x = 5,158.49

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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.