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Finding the Fourth Proportional to 5,498.97, 7,586.59 and 3,611.57

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Solution

The fourth proportional to 5,498.97, 7,586.59 and 3,611.57 is: 4,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.97 : 7,586.59 = 3,611.57 : x
  2. Step 2: Convert to fraction form
    5,498.97/7,586.59 = 3,611.57/x
  3. Step 3: Cross multiply
    5,498.97x = 7,586.59 × 3,611.57
  4. Step 4: Simplify right side
    5,498.97x = 27,399,509.18
  5. Step 5: Solve for x
    x = 27,399,509.18/5,498.97
  6. Step 6: Final answer
    x = 4,982.66

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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.