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Finding the Fourth Proportional to 8,642.46, 12,951.48 and 3,442.26

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Solution

The fourth proportional to 8,642.46, 12,951.48 and 3,442.26 is: 5,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.46 : 12,951.48 = 3,442.26 : x
  2. Step 2: Convert to fraction form
    8,642.46/12,951.48 = 3,442.26/x
  3. Step 3: Cross multiply
    8,642.46x = 12,951.48 × 3,442.26
  4. Step 4: Simplify right side
    8,642.46x = 44,582,361.54
  5. Step 5: Solve for x
    x = 44,582,361.54/8,642.46
  6. Step 6: Final answer
    x = 5,158.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.