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Finding the Fourth Proportional to 6,289.44, 8,680.32 and 3,638.40

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Solution

The fourth proportional to 6,289.44, 8,680.32 and 3,638.40 is: 5,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.44 : 8,680.32 = 3,638.40 : x
  2. Step 2: Convert to fraction form
    6,289.44/8,680.32 = 3,638.40/x
  3. Step 3: Cross multiply
    6,289.44x = 8,680.32 × 3,638.40
  4. Step 4: Simplify right side
    6,289.44x = 31,582,476.29
  5. Step 5: Solve for x
    x = 31,582,476.29/6,289.44
  6. Step 6: Final answer
    x = 5,021.51

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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.