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Finding the Fourth Proportional to 5,719.20, 7,906.93 and 4,224.75

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Solution

The fourth proportional to 5,719.20, 7,906.93 and 4,224.75 is: 5,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.20 : 7,906.93 = 4,224.75 : x
  2. Step 2: Convert to fraction form
    5,719.20/7,906.93 = 4,224.75/x
  3. Step 3: Cross multiply
    5,719.20x = 7,906.93 × 4,224.75
  4. Step 4: Simplify right side
    5,719.20x = 33,404,802.52
  5. Step 5: Solve for x
    x = 33,404,802.52/5,719.20
  6. Step 6: Final answer
    x = 5,840.82

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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.