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Finding the Fourth Proportional to 3,498.91, 4,828.55 and 1,927

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Solution

The fourth proportional to 3,498.91, 4,828.55 and 1,927 is: 2,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.91 : 4,828.55 = 1,927 : x
  2. Step 2: Convert to fraction form
    3,498.91/4,828.55 = 1,927/x
  3. Step 3: Cross multiply
    3,498.91x = 4,828.55 × 1,927
  4. Step 4: Simplify right side
    3,498.91x = 9,304,615.85
  5. Step 5: Solve for x
    x = 9,304,615.85/3,498.91
  6. Step 6: Final answer
    x = 2,659.29

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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.