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Finding the Fourth Proportional to 4,690.68, 7,033.20 and 3,228.24

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Solution

The fourth proportional to 4,690.68, 7,033.20 and 3,228.24 is: 4,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.68 : 7,033.20 = 3,228.24 : x
  2. Step 2: Convert to fraction form
    4,690.68/7,033.20 = 3,228.24/x
  3. Step 3: Cross multiply
    4,690.68x = 7,033.20 × 3,228.24
  4. Step 4: Simplify right side
    4,690.68x = 22,704,857.57
  5. Step 5: Solve for x
    x = 22,704,857.57/4,690.68
  6. Step 6: Final answer
    x = 4,840.42

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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.