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Finding the Fourth Proportional to 3,313.62, 4,571.46 and 2,054.22

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Solution

The fourth proportional to 3,313.62, 4,571.46 and 2,054.22 is: 2,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.62 : 4,571.46 = 2,054.22 : x
  2. Step 2: Convert to fraction form
    3,313.62/4,571.46 = 2,054.22/x
  3. Step 3: Cross multiply
    3,313.62x = 4,571.46 × 2,054.22
  4. Step 4: Simplify right side
    3,313.62x = 9,390,784.56
  5. Step 5: Solve for x
    x = 9,390,784.56/3,313.62
  6. Step 6: Final answer
    x = 2,834.00

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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.