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Finding the Fourth Proportional to 3,006.36, 4,508.06 and 1,821.64

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Solution

The fourth proportional to 3,006.36, 4,508.06 and 1,821.64 is: 2,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.36 : 4,508.06 = 1,821.64 : x
  2. Step 2: Convert to fraction form
    3,006.36/4,508.06 = 1,821.64/x
  3. Step 3: Cross multiply
    3,006.36x = 4,508.06 × 1,821.64
  4. Step 4: Simplify right side
    3,006.36x = 8,212,062.42
  5. Step 5: Solve for x
    x = 8,212,062.42/3,006.36
  6. Step 6: Final answer
    x = 2,731.56

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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.