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Finding the Fourth Proportional to 3,442.91, 4,751.46 and 2,606.18

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Solution

The fourth proportional to 3,442.91, 4,751.46 and 2,606.18 is: 3,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.91 : 4,751.46 = 2,606.18 : x
  2. Step 2: Convert to fraction form
    3,442.91/4,751.46 = 2,606.18/x
  3. Step 3: Cross multiply
    3,442.91x = 4,751.46 × 2,606.18
  4. Step 4: Simplify right side
    3,442.91x = 12,383,136.27
  5. Step 5: Solve for x
    x = 12,383,136.27/3,442.91
  6. Step 6: Final answer
    x = 3,596.71

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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.