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Finding the Fourth Proportional to 5,687.37, 7,852.44 and 3,563.78

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Solution

The fourth proportional to 5,687.37, 7,852.44 and 3,563.78 is: 4,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.37 : 7,852.44 = 3,563.78 : x
  2. Step 2: Convert to fraction form
    5,687.37/7,852.44 = 3,563.78/x
  3. Step 3: Cross multiply
    5,687.37x = 7,852.44 × 3,563.78
  4. Step 4: Simplify right side
    5,687.37x = 27,984,368.62
  5. Step 5: Solve for x
    x = 27,984,368.62/5,687.37
  6. Step 6: Final answer
    x = 4,920.44

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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.