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Finding the Fourth Proportional to 3,174, 4,375.44 and 2,613.12

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Solution

The fourth proportional to 3,174, 4,375.44 and 2,613.12 is: 3,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 4,375.44 = 2,613.12 : x
  2. Step 2: Convert to fraction form
    3,174/4,375.44 = 2,613.12/x
  3. Step 3: Cross multiply
    3,174x = 4,375.44 × 2,613.12
  4. Step 4: Simplify right side
    3,174x = 11,433,549.77
  5. Step 5: Solve for x
    x = 11,433,549.77/3,174
  6. Step 6: Final answer
    x = 3,602.25

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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.