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Finding the Fourth Proportional to 4,766.94, 7,149.53 and 1,992.86

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Solution

The fourth proportional to 4,766.94, 7,149.53 and 1,992.86 is: 2,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.94 : 7,149.53 = 1,992.86 : x
  2. Step 2: Convert to fraction form
    4,766.94/7,149.53 = 1,992.86/x
  3. Step 3: Cross multiply
    4,766.94x = 7,149.53 × 1,992.86
  4. Step 4: Simplify right side
    4,766.94x = 14,248,002.39
  5. Step 5: Solve for x
    x = 14,248,002.39/4,766.94
  6. Step 6: Final answer
    x = 2,988.92

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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.