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Finding the Fourth Proportional to 6,450, 8,902.08 and 3,657.12

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Solution

The fourth proportional to 6,450, 8,902.08 and 3,657.12 is: 5,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450 : 8,902.08 = 3,657.12 : x
  2. Step 2: Convert to fraction form
    6,450/8,902.08 = 3,657.12/x
  3. Step 3: Cross multiply
    6,450x = 8,902.08 × 3,657.12
  4. Step 4: Simplify right side
    6,450x = 32,555,974.81
  5. Step 5: Solve for x
    x = 32,555,974.81/6,450
  6. Step 6: Final answer
    x = 5,047.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.