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Finding the Fourth Proportional to 5,660.33, 7,815.92 and 3,674.30

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Solution

The fourth proportional to 5,660.33, 7,815.92 and 3,674.30 is: 5,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.33 : 7,815.92 = 3,674.30 : x
  2. Step 2: Convert to fraction form
    5,660.33/7,815.92 = 3,674.30/x
  3. Step 3: Cross multiply
    5,660.33x = 7,815.92 × 3,674.30
  4. Step 4: Simplify right side
    5,660.33x = 28,717,977.40
  5. Step 5: Solve for x
    x = 28,717,977.40/5,660.33
  6. Step 6: Final answer
    x = 5,073.56

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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.