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Finding the Fourth Proportional to 6,098.34, 8,415.24 and 3,446.04

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Solution

The fourth proportional to 6,098.34, 8,415.24 and 3,446.04 is: 4,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.34 : 8,415.24 = 3,446.04 : x
  2. Step 2: Convert to fraction form
    6,098.34/8,415.24 = 3,446.04/x
  3. Step 3: Cross multiply
    6,098.34x = 8,415.24 × 3,446.04
  4. Step 4: Simplify right side
    6,098.34x = 28,999,253.65
  5. Step 5: Solve for x
    x = 28,999,253.65/6,098.34
  6. Step 6: Final answer
    x = 4,755.27

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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.