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Finding the Fourth Proportional to 4,816.20, 6,645.06 and 2,827.20

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Solution

The fourth proportional to 4,816.20, 6,645.06 and 2,827.20 is: 3,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.20 : 6,645.06 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    4,816.20/6,645.06 = 2,827.20/x
  3. Step 3: Cross multiply
    4,816.20x = 6,645.06 × 2,827.20
  4. Step 4: Simplify right side
    4,816.20x = 18,786,913.63
  5. Step 5: Solve for x
    x = 18,786,913.63/4,816.20
  6. Step 6: Final answer
    x = 3,900.78

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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.