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Finding the Fourth Proportional to 6,152.50, 9,230.10 and 1,992.92

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Solution

The fourth proportional to 6,152.50, 9,230.10 and 1,992.92 is: 2,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.50 : 9,230.10 = 1,992.92 : x
  2. Step 2: Convert to fraction form
    6,152.50/9,230.10 = 1,992.92/x
  3. Step 3: Cross multiply
    6,152.50x = 9,230.10 × 1,992.92
  4. Step 4: Simplify right side
    6,152.50x = 18,394,840.93
  5. Step 5: Solve for x
    x = 18,394,840.93/6,152.50
  6. Step 6: Final answer
    x = 2,989.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.