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Finding the Fourth Proportional to 6,450.72, 8,902.80 and 3,657.12

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Solution

The fourth proportional to 6,450.72, 8,902.80 and 3,657.12 is: 5,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.72 : 8,902.80 = 3,657.12 : x
  2. Step 2: Convert to fraction form
    6,450.72/8,902.80 = 3,657.12/x
  3. Step 3: Cross multiply
    6,450.72x = 8,902.80 × 3,657.12
  4. Step 4: Simplify right side
    6,450.72x = 32,558,607.94
  5. Step 5: Solve for x
    x = 32,558,607.94/6,450.72
  6. Step 6: Final answer
    x = 5,047.28

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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.