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Finding the Fourth Proportional to 4,140.39, 5,714.26 and 2,372

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Solution

The fourth proportional to 4,140.39, 5,714.26 and 2,372 is: 3,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.39 : 5,714.26 = 2,372 : x
  2. Step 2: Convert to fraction form
    4,140.39/5,714.26 = 2,372/x
  3. Step 3: Cross multiply
    4,140.39x = 5,714.26 × 2,372
  4. Step 4: Simplify right side
    4,140.39x = 13,554,224.72
  5. Step 5: Solve for x
    x = 13,554,224.72/4,140.39
  6. Step 6: Final answer
    x = 3,273.66

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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.