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Finding the Fourth Proportional to 3,666, 5,059.35 and 2,269.02

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Solution

The fourth proportional to 3,666, 5,059.35 and 2,269.02 is: 3,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666 : 5,059.35 = 2,269.02 : x
  2. Step 2: Convert to fraction form
    3,666/5,059.35 = 2,269.02/x
  3. Step 3: Cross multiply
    3,666x = 5,059.35 × 2,269.02
  4. Step 4: Simplify right side
    3,666x = 11,479,766.34
  5. Step 5: Solve for x
    x = 11,479,766.34/3,666
  6. Step 6: Final answer
    x = 3,131.41

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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.