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Finding the Fourth Proportional to 5,269.44, 7,272 and 3,613.44

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Solution

The fourth proportional to 5,269.44, 7,272 and 3,613.44 is: 4,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.44 : 7,272 = 3,613.44 : x
  2. Step 2: Convert to fraction form
    5,269.44/7,272 = 3,613.44/x
  3. Step 3: Cross multiply
    5,269.44x = 7,272 × 3,613.44
  4. Step 4: Simplify right side
    5,269.44x = 26,276,935.68
  5. Step 5: Solve for x
    x = 26,276,935.68/5,269.44
  6. Step 6: Final answer
    x = 4,986.67

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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.