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Finding the Fourth Proportional to 4,216.80, 5,818.10 and 2,802.54

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Solution

The fourth proportional to 4,216.80, 5,818.10 and 2,802.54 is: 3,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.80 : 5,818.10 = 2,802.54 : x
  2. Step 2: Convert to fraction form
    4,216.80/5,818.10 = 2,802.54/x
  3. Step 3: Cross multiply
    4,216.80x = 5,818.10 × 2,802.54
  4. Step 4: Simplify right side
    4,216.80x = 16,305,457.97
  5. Step 5: Solve for x
    x = 16,305,457.97/4,216.80
  6. Step 6: Final answer
    x = 3,866.78

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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.