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Finding the Fourth Proportional to 6,428.56, 9,638.52 and 3,652.88

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Solution

The fourth proportional to 6,428.56, 9,638.52 and 3,652.88 is: 5,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.56 : 9,638.52 = 3,652.88 : x
  2. Step 2: Convert to fraction form
    6,428.56/9,638.52 = 3,652.88/x
  3. Step 3: Cross multiply
    6,428.56x = 9,638.52 × 3,652.88
  4. Step 4: Simplify right side
    6,428.56x = 35,208,356.94
  5. Step 5: Solve for x
    x = 35,208,356.94/6,428.56
  6. Step 6: Final answer
    x = 5,476.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.