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Finding the Fourth Proportional to 5,085.03, 7,016.54 and 2,847

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Solution

The fourth proportional to 5,085.03, 7,016.54 and 2,847 is: 3,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.03 : 7,016.54 = 2,847 : x
  2. Step 2: Convert to fraction form
    5,085.03/7,016.54 = 2,847/x
  3. Step 3: Cross multiply
    5,085.03x = 7,016.54 × 2,847
  4. Step 4: Simplify right side
    5,085.03x = 19,976,089.38
  5. Step 5: Solve for x
    x = 19,976,089.38/5,085.03
  6. Step 6: Final answer
    x = 3,928.41

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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.