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Finding the Fourth Proportional to 4,768.06, 7,150.74 and 3,010.43

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Solution

The fourth proportional to 4,768.06, 7,150.74 and 3,010.43 is: 4,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.06 : 7,150.74 = 3,010.43 : x
  2. Step 2: Convert to fraction form
    4,768.06/7,150.74 = 3,010.43/x
  3. Step 3: Cross multiply
    4,768.06x = 7,150.74 × 3,010.43
  4. Step 4: Simplify right side
    4,768.06x = 21,526,802.22
  5. Step 5: Solve for x
    x = 21,526,802.22/4,768.06
  6. Step 6: Final answer
    x = 4,514.79

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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.