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Finding the Fourth Proportional to 6,116.78, 8,440.98 and 3,464.42

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Solution

The fourth proportional to 6,116.78, 8,440.98 and 3,464.42 is: 4,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.78 : 8,440.98 = 3,464.42 : x
  2. Step 2: Convert to fraction form
    6,116.78/8,440.98 = 3,464.42/x
  3. Step 3: Cross multiply
    6,116.78x = 8,440.98 × 3,464.42
  4. Step 4: Simplify right side
    6,116.78x = 29,243,099.93
  5. Step 5: Solve for x
    x = 29,243,099.93/6,116.78
  6. Step 6: Final answer
    x = 4,780.80

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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.