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Finding the Fourth Proportional to 5,073.62, 7,610.70 and 1,611.14

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Solution

The fourth proportional to 5,073.62, 7,610.70 and 1,611.14 is: 2,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.62 : 7,610.70 = 1,611.14 : x
  2. Step 2: Convert to fraction form
    5,073.62/7,610.70 = 1,611.14/x
  3. Step 3: Cross multiply
    5,073.62x = 7,610.70 × 1,611.14
  4. Step 4: Simplify right side
    5,073.62x = 12,261,903.20
  5. Step 5: Solve for x
    x = 12,261,903.20/5,073.62
  6. Step 6: Final answer
    x = 2,416.80

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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.