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Finding the Fourth Proportional to 3,695, 5,103.48 and 2,514.08

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Solution

The fourth proportional to 3,695, 5,103.48 and 2,514.08 is: 3,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695 : 5,103.48 = 2,514.08 : x
  2. Step 2: Convert to fraction form
    3,695/5,103.48 = 2,514.08/x
  3. Step 3: Cross multiply
    3,695x = 5,103.48 × 2,514.08
  4. Step 4: Simplify right side
    3,695x = 12,830,557.00
  5. Step 5: Solve for x
    x = 12,830,557.00/3,695
  6. Step 6: Final answer
    x = 3,472.41

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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.