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Finding the Fourth Proportional to 3,821.34, 5,732.01 and 2,089.02

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Solution

The fourth proportional to 3,821.34, 5,732.01 and 2,089.02 is: 3,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.34 : 5,732.01 = 2,089.02 : x
  2. Step 2: Convert to fraction form
    3,821.34/5,732.01 = 2,089.02/x
  3. Step 3: Cross multiply
    3,821.34x = 5,732.01 × 2,089.02
  4. Step 4: Simplify right side
    3,821.34x = 11,974,283.53
  5. Step 5: Solve for x
    x = 11,974,283.53/3,821.34
  6. Step 6: Final answer
    x = 3,133.53

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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.