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Finding the Fourth Proportional to 6,411.34, 8,848.67 and 3,722.61

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Solution

The fourth proportional to 6,411.34, 8,848.67 and 3,722.61 is: 5,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.34 : 8,848.67 = 3,722.61 : x
  2. Step 2: Convert to fraction form
    6,411.34/8,848.67 = 3,722.61/x
  3. Step 3: Cross multiply
    6,411.34x = 8,848.67 × 3,722.61
  4. Step 4: Simplify right side
    6,411.34x = 32,940,147.43
  5. Step 5: Solve for x
    x = 32,940,147.43/6,411.34
  6. Step 6: Final answer
    x = 5,137.79

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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.