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Finding the Fourth Proportional to 5,729.77, 8,593.42 and 2,032.12

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Solution

The fourth proportional to 5,729.77, 8,593.42 and 2,032.12 is: 3,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.77 : 8,593.42 = 2,032.12 : x
  2. Step 2: Convert to fraction form
    5,729.77/8,593.42 = 2,032.12/x
  3. Step 3: Cross multiply
    5,729.77x = 8,593.42 × 2,032.12
  4. Step 4: Simplify right side
    5,729.77x = 17,462,850.49
  5. Step 5: Solve for x
    x = 17,462,850.49/5,729.77
  6. Step 6: Final answer
    x = 3,047.74

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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.