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Finding the Fourth Proportional to 3,669.98, 5,506.85 and 1,821.05

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Solution

The fourth proportional to 3,669.98, 5,506.85 and 1,821.05 is: 2,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.98 : 5,506.85 = 1,821.05 : x
  2. Step 2: Convert to fraction form
    3,669.98/5,506.85 = 1,821.05/x
  3. Step 3: Cross multiply
    3,669.98x = 5,506.85 × 1,821.05
  4. Step 4: Simplify right side
    3,669.98x = 10,028,246.86
  5. Step 5: Solve for x
    x = 10,028,246.86/3,669.98
  6. Step 6: Final answer
    x = 2,732.51

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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.