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Finding the Fourth Proportional to 5,203.69, 7,180.94 and 2,845.78

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Solution

The fourth proportional to 5,203.69, 7,180.94 and 2,845.78 is: 3,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.69 : 7,180.94 = 2,845.78 : x
  2. Step 2: Convert to fraction form
    5,203.69/7,180.94 = 2,845.78/x
  3. Step 3: Cross multiply
    5,203.69x = 7,180.94 × 2,845.78
  4. Step 4: Simplify right side
    5,203.69x = 20,435,364.60
  5. Step 5: Solve for x
    x = 20,435,364.60/5,203.69
  6. Step 6: Final answer
    x = 3,927.09

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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.