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Finding the Fourth Proportional to 5,498.46, 7,588.44 and 3,611.57

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Solution

The fourth proportional to 5,498.46, 7,588.44 and 3,611.57 is: 4,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.46 : 7,588.44 = 3,611.57 : x
  2. Step 2: Convert to fraction form
    5,498.46/7,588.44 = 3,611.57/x
  3. Step 3: Cross multiply
    5,498.46x = 7,588.44 × 3,611.57
  4. Step 4: Simplify right side
    5,498.46x = 27,406,144.31
  5. Step 5: Solve for x
    x = 27,406,144.31/5,498.46
  6. Step 6: Final answer
    x = 4,984.33

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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.