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Finding the Fourth Proportional to 6,115.78, 8,439.60 and 3,463.44

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Solution

The fourth proportional to 6,115.78, 8,439.60 and 3,463.44 is: 4,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.78 : 8,439.60 = 3,463.44 : x
  2. Step 2: Convert to fraction form
    6,115.78/8,439.60 = 3,463.44/x
  3. Step 3: Cross multiply
    6,115.78x = 8,439.60 × 3,463.44
  4. Step 4: Simplify right side
    6,115.78x = 29,230,048.22
  5. Step 5: Solve for x
    x = 29,230,048.22/6,115.78
  6. Step 6: Final answer
    x = 4,779.45

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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.