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Finding the Fourth Proportional to 3,309.30, 4,959.33 and 1,829.23

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Solution

The fourth proportional to 3,309.30, 4,959.33 and 1,829.23 is: 2,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.30 : 4,959.33 = 1,829.23 : x
  2. Step 2: Convert to fraction form
    3,309.30/4,959.33 = 1,829.23/x
  3. Step 3: Cross multiply
    3,309.30x = 4,959.33 × 1,829.23
  4. Step 4: Simplify right side
    3,309.30x = 9,071,764.84
  5. Step 5: Solve for x
    x = 9,071,764.84/3,309.30
  6. Step 6: Final answer
    x = 2,741.29

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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.