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Finding the Fourth Proportional to 5,691.60, 7,845.43 and 4,273.24

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Solution

The fourth proportional to 5,691.60, 7,845.43 and 4,273.24 is: 5,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.60 : 7,845.43 = 4,273.24 : x
  2. Step 2: Convert to fraction form
    5,691.60/7,845.43 = 4,273.24/x
  3. Step 3: Cross multiply
    5,691.60x = 7,845.43 × 4,273.24
  4. Step 4: Simplify right side
    5,691.60x = 33,525,409.74
  5. Step 5: Solve for x
    x = 33,525,409.74/5,691.60
  6. Step 6: Final answer
    x = 5,890.33

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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.