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Finding the Fourth Proportional to 5,548.75, 7,657.28 and 3,064.91

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Solution

The fourth proportional to 5,548.75, 7,657.28 and 3,064.91 is: 4,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.75 : 7,657.28 = 3,064.91 : x
  2. Step 2: Convert to fraction form
    5,548.75/7,657.28 = 3,064.91/x
  3. Step 3: Cross multiply
    5,548.75x = 7,657.28 × 3,064.91
  4. Step 4: Simplify right side
    5,548.75x = 23,468,858.72
  5. Step 5: Solve for x
    x = 23,468,858.72/5,548.75
  6. Step 6: Final answer
    x = 4,229.58

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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.