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Finding the Fourth Proportional to 6,152.59, 9,229.02 and 1,992.59

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Solution

The fourth proportional to 6,152.59, 9,229.02 and 1,992.59 is: 2,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.59 : 9,229.02 = 1,992.59 : x
  2. Step 2: Convert to fraction form
    6,152.59/9,229.02 = 1,992.59/x
  3. Step 3: Cross multiply
    6,152.59x = 9,229.02 × 1,992.59
  4. Step 4: Simplify right side
    6,152.59x = 18,389,633.95
  5. Step 5: Solve for x
    x = 18,389,633.95/6,152.59
  6. Step 6: Final answer
    x = 2,988.93

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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.