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Finding the Fourth Proportional to 3,723.34, 5,574.04 and 3,262.02

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Solution

The fourth proportional to 3,723.34, 5,574.04 and 3,262.02 is: 4,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.34 : 5,574.04 = 3,262.02 : x
  2. Step 2: Convert to fraction form
    3,723.34/5,574.04 = 3,262.02/x
  3. Step 3: Cross multiply
    3,723.34x = 5,574.04 × 3,262.02
  4. Step 4: Simplify right side
    3,723.34x = 18,182,629.96
  5. Step 5: Solve for x
    x = 18,182,629.96/3,723.34
  6. Step 6: Final answer
    x = 4,883.42

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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.