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Finding the Fourth Proportional to 5,208.90, 7,822.68 and 4,791.66

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Solution

The fourth proportional to 5,208.90, 7,822.68 and 4,791.66 is: 7,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.90 : 7,822.68 = 4,791.66 : x
  2. Step 2: Convert to fraction form
    5,208.90/7,822.68 = 4,791.66/x
  3. Step 3: Cross multiply
    5,208.90x = 7,822.68 × 4,791.66
  4. Step 4: Simplify right side
    5,208.90x = 37,483,622.85
  5. Step 5: Solve for x
    x = 37,483,622.85/5,208.90
  6. Step 6: Final answer
    x = 7,196.07

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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.