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Finding the Fourth Proportional to 6,120.64, 8,445.44 and 3,467.50

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Solution

The fourth proportional to 6,120.64, 8,445.44 and 3,467.50 is: 4,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.64 : 8,445.44 = 3,467.50 : x
  2. Step 2: Convert to fraction form
    6,120.64/8,445.44 = 3,467.50/x
  3. Step 3: Cross multiply
    6,120.64x = 8,445.44 × 3,467.50
  4. Step 4: Simplify right side
    6,120.64x = 29,284,563.20
  5. Step 5: Solve for x
    x = 29,284,563.20/6,120.64
  6. Step 6: Final answer
    x = 4,784.56

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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.