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Finding the Fourth Proportional to 3,574.80, 5,353.56 and 3,164.40

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Solution

The fourth proportional to 3,574.80, 5,353.56 and 3,164.40 is: 4,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.80 : 5,353.56 = 3,164.40 : x
  2. Step 2: Convert to fraction form
    3,574.80/5,353.56 = 3,164.40/x
  3. Step 3: Cross multiply
    3,574.80x = 5,353.56 × 3,164.40
  4. Step 4: Simplify right side
    3,574.80x = 16,940,805.26
  5. Step 5: Solve for x
    x = 16,940,805.26/3,574.80
  6. Step 6: Final answer
    x = 4,738.95

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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.