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Finding the Fourth Proportional to 3,085.20, 4,627.51 and 864.23

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Solution

The fourth proportional to 3,085.20, 4,627.51 and 864.23 is: 1,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.20 : 4,627.51 = 864.23 : x
  2. Step 2: Convert to fraction form
    3,085.20/4,627.51 = 864.23/x
  3. Step 3: Cross multiply
    3,085.20x = 4,627.51 × 864.23
  4. Step 4: Simplify right side
    3,085.20x = 3,999,245.62
  5. Step 5: Solve for x
    x = 3,999,245.62/3,085.20
  6. Step 6: Final answer
    x = 1,296.27

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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.