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Finding the Fourth Proportional to 5,643.08, 8,474.30 and 3,464.60

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Solution

The fourth proportional to 5,643.08, 8,474.30 and 3,464.60 is: 5,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.08 : 8,474.30 = 3,464.60 : x
  2. Step 2: Convert to fraction form
    5,643.08/8,474.30 = 3,464.60/x
  3. Step 3: Cross multiply
    5,643.08x = 8,474.30 × 3,464.60
  4. Step 4: Simplify right side
    5,643.08x = 29,360,059.78
  5. Step 5: Solve for x
    x = 29,360,059.78/5,643.08
  6. Step 6: Final answer
    x = 5,202.84

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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.