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Finding the Fourth Proportional to 4,674.48, 6,450.54 and 2,906.06

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Solution

The fourth proportional to 4,674.48, 6,450.54 and 2,906.06 is: 4,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.48 : 6,450.54 = 2,906.06 : x
  2. Step 2: Convert to fraction form
    4,674.48/6,450.54 = 2,906.06/x
  3. Step 3: Cross multiply
    4,674.48x = 6,450.54 × 2,906.06
  4. Step 4: Simplify right side
    4,674.48x = 18,745,624.02
  5. Step 5: Solve for x
    x = 18,745,624.02/4,674.48
  6. Step 6: Final answer
    x = 4,010.21

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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.