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Finding the Fourth Proportional to 6,290.84, 8,682.30 and 3,638.18

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Solution

The fourth proportional to 6,290.84, 8,682.30 and 3,638.18 is: 5,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.84 : 8,682.30 = 3,638.18 : x
  2. Step 2: Convert to fraction form
    6,290.84/8,682.30 = 3,638.18/x
  3. Step 3: Cross multiply
    6,290.84x = 8,682.30 × 3,638.18
  4. Step 4: Simplify right side
    6,290.84x = 31,587,770.21
  5. Step 5: Solve for x
    x = 31,587,770.21/6,290.84
  6. Step 6: Final answer
    x = 5,021.23

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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.