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Finding the Fourth Proportional to 4,766.02, 7,151.83 and 1,992.48

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Solution

The fourth proportional to 4,766.02, 7,151.83 and 1,992.48 is: 2,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.02 : 7,151.83 = 1,992.48 : x
  2. Step 2: Convert to fraction form
    4,766.02/7,151.83 = 1,992.48/x
  3. Step 3: Cross multiply
    4,766.02x = 7,151.83 × 1,992.48
  4. Step 4: Simplify right side
    4,766.02x = 14,249,846.44
  5. Step 5: Solve for x
    x = 14,249,846.44/4,766.02
  6. Step 6: Final answer
    x = 2,989.89

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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.