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Finding the Fourth Proportional to 4,674.40, 6,450.40 and 2,906.16

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Solution

The fourth proportional to 4,674.40, 6,450.40 and 2,906.16 is: 4,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.40 : 6,450.40 = 2,906.16 : x
  2. Step 2: Convert to fraction form
    4,674.40/6,450.40 = 2,906.16/x
  3. Step 3: Cross multiply
    4,674.40x = 6,450.40 × 2,906.16
  4. Step 4: Simplify right side
    4,674.40x = 18,745,894.46
  5. Step 5: Solve for x
    x = 18,745,894.46/4,674.40
  6. Step 6: Final answer
    x = 4,010.33

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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.