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Finding the Fourth Proportional to 5,771.66, 8,657.14 and 1,611.90

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Solution

The fourth proportional to 5,771.66, 8,657.14 and 1,611.90 is: 2,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.66 : 8,657.14 = 1,611.90 : x
  2. Step 2: Convert to fraction form
    5,771.66/8,657.14 = 1,611.90/x
  3. Step 3: Cross multiply
    5,771.66x = 8,657.14 × 1,611.90
  4. Step 4: Simplify right side
    5,771.66x = 13,954,443.97
  5. Step 5: Solve for x
    x = 13,954,443.97/5,771.66
  6. Step 6: Final answer
    x = 2,417.75

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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.