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Finding the Fourth Proportional to 6,290.22, 8,680.32 and 3,638.10

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Solution

The fourth proportional to 6,290.22, 8,680.32 and 3,638.10 is: 5,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.22 : 8,680.32 = 3,638.10 : x
  2. Step 2: Convert to fraction form
    6,290.22/8,680.32 = 3,638.10/x
  3. Step 3: Cross multiply
    6,290.22x = 8,680.32 × 3,638.10
  4. Step 4: Simplify right side
    6,290.22x = 31,579,872.19
  5. Step 5: Solve for x
    x = 31,579,872.19/6,290.22
  6. Step 6: Final answer
    x = 5,020.47

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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.