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Finding the Fourth Proportional to 4,212, 6,320.88 and 2,022.48

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Solution

The fourth proportional to 4,212, 6,320.88 and 2,022.48 is: 3,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212 : 6,320.88 = 2,022.48 : x
  2. Step 2: Convert to fraction form
    4,212/6,320.88 = 2,022.48/x
  3. Step 3: Cross multiply
    4,212x = 6,320.88 × 2,022.48
  4. Step 4: Simplify right side
    4,212x = 12,783,853.38
  5. Step 5: Solve for x
    x = 12,783,853.38/4,212
  6. Step 6: Final answer
    x = 3,035.10

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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.