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Finding the Fourth Proportional to 6,224.34, 8,589.54 and 3,429.84

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Solution

The fourth proportional to 6,224.34, 8,589.54 and 3,429.84 is: 4,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.34 : 8,589.54 = 3,429.84 : x
  2. Step 2: Convert to fraction form
    6,224.34/8,589.54 = 3,429.84/x
  3. Step 3: Cross multiply
    6,224.34x = 8,589.54 × 3,429.84
  4. Step 4: Simplify right side
    6,224.34x = 29,460,704.93
  5. Step 5: Solve for x
    x = 29,460,704.93/6,224.34
  6. Step 6: Final answer
    x = 4,733.15

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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.