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Finding the Fourth Proportional to 4,324.59, 6,486.57 and 2,469.89

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Solution

The fourth proportional to 4,324.59, 6,486.57 and 2,469.89 is: 3,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.59 : 6,486.57 = 2,469.89 : x
  2. Step 2: Convert to fraction form
    4,324.59/6,486.57 = 2,469.89/x
  3. Step 3: Cross multiply
    4,324.59x = 6,486.57 × 2,469.89
  4. Step 4: Simplify right side
    4,324.59x = 16,021,114.38
  5. Step 5: Solve for x
    x = 16,021,114.38/4,324.59
  6. Step 6: Final answer
    x = 3,704.66

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