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Finding the Fourth Proportional to 5,688.89, 7,850.28 and 3,564.36

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Solution

The fourth proportional to 5,688.89, 7,850.28 and 3,564.36 is: 4,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.89 : 7,850.28 = 3,564.36 : x
  2. Step 2: Convert to fraction form
    5,688.89/7,850.28 = 3,564.36/x
  3. Step 3: Cross multiply
    5,688.89x = 7,850.28 × 3,564.36
  4. Step 4: Simplify right side
    5,688.89x = 27,981,237.39
  5. Step 5: Solve for x
    x = 27,981,237.39/5,688.89
  6. Step 6: Final answer
    x = 4,918.58

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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.