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Finding the Fourth Proportional to 3,679.48, 5,514.54 and 1,729

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Solution

The fourth proportional to 3,679.48, 5,514.54 and 1,729 is: 2,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.48 : 5,514.54 = 1,729 : x
  2. Step 2: Convert to fraction form
    3,679.48/5,514.54 = 1,729/x
  3. Step 3: Cross multiply
    3,679.48x = 5,514.54 × 1,729
  4. Step 4: Simplify right side
    3,679.48x = 9,534,639.66
  5. Step 5: Solve for x
    x = 9,534,639.66/3,679.48
  6. Step 6: Final answer
    x = 2,591.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.