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Finding the Fourth Proportional to 5,688.08, 7,850.76 and 3,824

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Solution

The fourth proportional to 5,688.08, 7,850.76 and 3,824 is: 5,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.08 : 7,850.76 = 3,824 : x
  2. Step 2: Convert to fraction form
    5,688.08/7,850.76 = 3,824/x
  3. Step 3: Cross multiply
    5,688.08x = 7,850.76 × 3,824
  4. Step 4: Simplify right side
    5,688.08x = 30,021,306.24
  5. Step 5: Solve for x
    x = 30,021,306.24/5,688.08
  6. Step 6: Final answer
    x = 5,277.93

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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.