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Finding the Fourth Proportional to 2,540.52, 3,523.88 and 2,473.12

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Solution

The fourth proportional to 2,540.52, 3,523.88 and 2,473.12 is: 3,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.52 : 3,523.88 = 2,473.12 : x
  2. Step 2: Convert to fraction form
    2,540.52/3,523.88 = 2,473.12/x
  3. Step 3: Cross multiply
    2,540.52x = 3,523.88 × 2,473.12
  4. Step 4: Simplify right side
    2,540.52x = 8,714,978.11
  5. Step 5: Solve for x
    x = 8,714,978.11/2,540.52
  6. Step 6: Final answer
    x = 3,430.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.