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Finding the Fourth Proportional to 5,715.84, 7,887.44 and 3,197.84

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Solution

The fourth proportional to 5,715.84, 7,887.44 and 3,197.84 is: 4,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.84 : 7,887.44 = 3,197.84 : x
  2. Step 2: Convert to fraction form
    5,715.84/7,887.44 = 3,197.84/x
  3. Step 3: Cross multiply
    5,715.84x = 7,887.44 × 3,197.84
  4. Step 4: Simplify right side
    5,715.84x = 25,222,771.13
  5. Step 5: Solve for x
    x = 25,222,771.13/5,715.84
  6. Step 6: Final answer
    x = 4,412.78

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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.