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Finding the Fourth Proportional to 3,006.33, 4,149.48 and 1,828.19

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Solution

The fourth proportional to 3,006.33, 4,149.48 and 1,828.19 is: 2,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.33 : 4,149.48 = 1,828.19 : x
  2. Step 2: Convert to fraction form
    3,006.33/4,149.48 = 1,828.19/x
  3. Step 3: Cross multiply
    3,006.33x = 4,149.48 × 1,828.19
  4. Step 4: Simplify right side
    3,006.33x = 7,586,017.09
  5. Step 5: Solve for x
    x = 7,586,017.09/3,006.33
  6. Step 6: Final answer
    x = 2,523.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.