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Finding the Fourth Proportional to 4,919.72, 6,783.30 and 4,020.14

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Solution

The fourth proportional to 4,919.72, 6,783.30 and 4,020.14 is: 5,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.72 : 6,783.30 = 4,020.14 : x
  2. Step 2: Convert to fraction form
    4,919.72/6,783.30 = 4,020.14/x
  3. Step 3: Cross multiply
    4,919.72x = 6,783.30 × 4,020.14
  4. Step 4: Simplify right side
    4,919.72x = 27,269,815.66
  5. Step 5: Solve for x
    x = 27,269,815.66/4,919.72
  6. Step 6: Final answer
    x = 5,542.96

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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.