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Finding the Fourth Proportional to 6,774.20, 10,153.20 and 3,485.60

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Solution

The fourth proportional to 6,774.20, 10,153.20 and 3,485.60 is: 5,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.20 : 10,153.20 = 3,485.60 : x
  2. Step 2: Convert to fraction form
    6,774.20/10,153.20 = 3,485.60/x
  3. Step 3: Cross multiply
    6,774.20x = 10,153.20 × 3,485.60
  4. Step 4: Simplify right side
    6,774.20x = 35,389,993.92
  5. Step 5: Solve for x
    x = 35,389,993.92/6,774.20
  6. Step 6: Final answer
    x = 5,224.23

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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.