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Finding the Fourth Proportional to 4,339.99, 6,504.13 and 2,255.64

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Solution

The fourth proportional to 4,339.99, 6,504.13 and 2,255.64 is: 3,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.99 : 6,504.13 = 2,255.64 : x
  2. Step 2: Convert to fraction form
    4,339.99/6,504.13 = 2,255.64/x
  3. Step 3: Cross multiply
    4,339.99x = 6,504.13 × 2,255.64
  4. Step 4: Simplify right side
    4,339.99x = 14,670,975.79
  5. Step 5: Solve for x
    x = 14,670,975.79/4,339.99
  6. Step 6: Final answer
    x = 3,380.42

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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.