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Finding the Fourth Proportional to 5,636.20, 8,447 and 3,784.56

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Solution

The fourth proportional to 5,636.20, 8,447 and 3,784.56 is: 5,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.20 : 8,447 = 3,784.56 : x
  2. Step 2: Convert to fraction form
    5,636.20/8,447 = 3,784.56/x
  3. Step 3: Cross multiply
    5,636.20x = 8,447 × 3,784.56
  4. Step 4: Simplify right side
    5,636.20x = 31,968,178.32
  5. Step 5: Solve for x
    x = 31,968,178.32/5,636.20
  6. Step 6: Final answer
    x = 5,671.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.