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Finding the Fourth Proportional to 4,064.48, 6,089.42 and 3,845.78

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Solution

The fourth proportional to 4,064.48, 6,089.42 and 3,845.78 is: 5,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.48 : 6,089.42 = 3,845.78 : x
  2. Step 2: Convert to fraction form
    4,064.48/6,089.42 = 3,845.78/x
  3. Step 3: Cross multiply
    4,064.48x = 6,089.42 × 3,845.78
  4. Step 4: Simplify right side
    4,064.48x = 23,418,548.81
  5. Step 5: Solve for x
    x = 23,418,548.81/4,064.48
  6. Step 6: Final answer
    x = 5,761.76

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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.