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Finding the Fourth Proportional to 4,573.12, 6,840.32 and 3,861.44

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Solution

The fourth proportional to 4,573.12, 6,840.32 and 3,861.44 is: 5,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.12 : 6,840.32 = 3,861.44 : x
  2. Step 2: Convert to fraction form
    4,573.12/6,840.32 = 3,861.44/x
  3. Step 3: Cross multiply
    4,573.12x = 6,840.32 × 3,861.44
  4. Step 4: Simplify right side
    4,573.12x = 26,413,485.26
  5. Step 5: Solve for x
    x = 26,413,485.26/4,573.12
  6. Step 6: Final answer
    x = 5,775.81

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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.