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Finding the Fourth Proportional to 4,218.66, 5,821.32 and 2,450.64

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Solution

The fourth proportional to 4,218.66, 5,821.32 and 2,450.64 is: 3,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.66 : 5,821.32 = 2,450.64 : x
  2. Step 2: Convert to fraction form
    4,218.66/5,821.32 = 2,450.64/x
  3. Step 3: Cross multiply
    4,218.66x = 5,821.32 × 2,450.64
  4. Step 4: Simplify right side
    4,218.66x = 14,265,959.64
  5. Step 5: Solve for x
    x = 14,265,959.64/4,218.66
  6. Step 6: Final answer
    x = 3,381.63

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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.