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Finding the Fourth Proportional to 5,697.04, 7,862.10 and 3,306.83

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Solution

The fourth proportional to 5,697.04, 7,862.10 and 3,306.83 is: 4,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.04 : 7,862.10 = 3,306.83 : x
  2. Step 2: Convert to fraction form
    5,697.04/7,862.10 = 3,306.83/x
  3. Step 3: Cross multiply
    5,697.04x = 7,862.10 × 3,306.83
  4. Step 4: Simplify right side
    5,697.04x = 25,998,660.20
  5. Step 5: Solve for x
    x = 25,998,660.20/5,697.04
  6. Step 6: Final answer
    x = 4,563.54

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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.