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Finding the Fourth Proportional to 5,992.96, 8,989.41 and 1,610.05

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Solution

The fourth proportional to 5,992.96, 8,989.41 and 1,610.05 is: 2,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.96 : 8,989.41 = 1,610.05 : x
  2. Step 2: Convert to fraction form
    5,992.96/8,989.41 = 1,610.05/x
  3. Step 3: Cross multiply
    5,992.96x = 8,989.41 × 1,610.05
  4. Step 4: Simplify right side
    5,992.96x = 14,473,399.57
  5. Step 5: Solve for x
    x = 14,473,399.57/5,992.96
  6. Step 6: Final answer
    x = 2,415.07

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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.