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Finding the Fourth Proportional to 4,805.70, 7,204.28 and 2,305.52

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Solution

The fourth proportional to 4,805.70, 7,204.28 and 2,305.52 is: 3,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.70 : 7,204.28 = 2,305.52 : x
  2. Step 2: Convert to fraction form
    4,805.70/7,204.28 = 2,305.52/x
  3. Step 3: Cross multiply
    4,805.70x = 7,204.28 × 2,305.52
  4. Step 4: Simplify right side
    4,805.70x = 16,609,611.63
  5. Step 5: Solve for x
    x = 16,609,611.63/4,805.70
  6. Step 6: Final answer
    x = 3,456.23

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