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Finding the Fourth Proportional to 5,716.64, 8,577.64 and 2,021.66

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Solution

The fourth proportional to 5,716.64, 8,577.64 and 2,021.66 is: 3,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.64 : 8,577.64 = 2,021.66 : x
  2. Step 2: Convert to fraction form
    5,716.64/8,577.64 = 2,021.66/x
  3. Step 3: Cross multiply
    5,716.64x = 8,577.64 × 2,021.66
  4. Step 4: Simplify right side
    5,716.64x = 17,341,071.68
  5. Step 5: Solve for x
    x = 17,341,071.68/5,716.64
  6. Step 6: Final answer
    x = 3,033.44

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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.