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Finding the Fourth Proportional to 5,203.50, 7,181.63 and 4,092.85

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Solution

The fourth proportional to 5,203.50, 7,181.63 and 4,092.85 is: 5,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.50 : 7,181.63 = 4,092.85 : x
  2. Step 2: Convert to fraction form
    5,203.50/7,181.63 = 4,092.85/x
  3. Step 3: Cross multiply
    5,203.50x = 7,181.63 × 4,092.85
  4. Step 4: Simplify right side
    5,203.50x = 29,393,334.35
  5. Step 5: Solve for x
    x = 29,393,334.35/5,203.50
  6. Step 6: Final answer
    x = 5,648.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.