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Finding the Fourth Proportional to 3,695.94, 5,092.67 and 2,514.96

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Solution

The fourth proportional to 3,695.94, 5,092.67 and 2,514.96 is: 3,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.94 : 5,092.67 = 2,514.96 : x
  2. Step 2: Convert to fraction form
    3,695.94/5,092.67 = 2,514.96/x
  3. Step 3: Cross multiply
    3,695.94x = 5,092.67 × 2,514.96
  4. Step 4: Simplify right side
    3,695.94x = 12,807,867.63
  5. Step 5: Solve for x
    x = 12,807,867.63/3,695.94
  6. Step 6: Final answer
    x = 3,465.39

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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.