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Finding the Fourth Proportional to 4,065, 5,609.25 and 2,296.23

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Solution

The fourth proportional to 4,065, 5,609.25 and 2,296.23 is: 3,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 5,609.25 = 2,296.23 : x
  2. Step 2: Convert to fraction form
    4,065/5,609.25 = 2,296.23/x
  3. Step 3: Cross multiply
    4,065x = 5,609.25 × 2,296.23
  4. Step 4: Simplify right side
    4,065x = 12,880,128.13
  5. Step 5: Solve for x
    x = 12,880,128.13/4,065
  6. Step 6: Final answer
    x = 3,168.54

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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.