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Finding the Fourth Proportional to 3,499, 4,828.62 and 1,927.24

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Solution

The fourth proportional to 3,499, 4,828.62 and 1,927.24 is: 2,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499 : 4,828.62 = 1,927.24 : x
  2. Step 2: Convert to fraction form
    3,499/4,828.62 = 1,927.24/x
  3. Step 3: Cross multiply
    3,499x = 4,828.62 × 1,927.24
  4. Step 4: Simplify right side
    3,499x = 9,305,909.61
  5. Step 5: Solve for x
    x = 9,305,909.61/3,499
  6. Step 6: Final answer
    x = 2,659.59

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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.