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Finding the Fourth Proportional to 3,313.33, 4,971.70 and 1,832.28

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Solution

The fourth proportional to 3,313.33, 4,971.70 and 1,832.28 is: 2,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.33 : 4,971.70 = 1,832.28 : x
  2. Step 2: Convert to fraction form
    3,313.33/4,971.70 = 1,832.28/x
  3. Step 3: Cross multiply
    3,313.33x = 4,971.70 × 1,832.28
  4. Step 4: Simplify right side
    3,313.33x = 9,109,519.82
  5. Step 5: Solve for x
    x = 9,109,519.82/3,313.33
  6. Step 6: Final answer
    x = 2,749.36

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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.