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Finding the Fourth Proportional to 3,441.64, 4,747.96 and 2,292.16

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Solution

The fourth proportional to 3,441.64, 4,747.96 and 2,292.16 is: 3,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.64 : 4,747.96 = 2,292.16 : x
  2. Step 2: Convert to fraction form
    3,441.64/4,747.96 = 2,292.16/x
  3. Step 3: Cross multiply
    3,441.64x = 4,747.96 × 2,292.16
  4. Step 4: Simplify right side
    3,441.64x = 10,883,083.99
  5. Step 5: Solve for x
    x = 10,883,083.99/3,441.64
  6. Step 6: Final answer
    x = 3,162.18

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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.