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Finding the Fourth Proportional to 4,064.88, 5,609.34 and 2,296.74

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Solution

The fourth proportional to 4,064.88, 5,609.34 and 2,296.74 is: 3,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.88 : 5,609.34 = 2,296.74 : x
  2. Step 2: Convert to fraction form
    4,064.88/5,609.34 = 2,296.74/x
  3. Step 3: Cross multiply
    4,064.88x = 5,609.34 × 2,296.74
  4. Step 4: Simplify right side
    4,064.88x = 12,883,195.55
  5. Step 5: Solve for x
    x = 12,883,195.55/4,064.88
  6. Step 6: Final answer
    x = 3,169.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.