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Finding the Fourth Proportional to 3,584.16, 4,945.74 and 2,011.92

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Solution

The fourth proportional to 3,584.16, 4,945.74 and 2,011.92 is: 2,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.16 : 4,945.74 = 2,011.92 : x
  2. Step 2: Convert to fraction form
    3,584.16/4,945.74 = 2,011.92/x
  3. Step 3: Cross multiply
    3,584.16x = 4,945.74 × 2,011.92
  4. Step 4: Simplify right side
    3,584.16x = 9,950,433.22
  5. Step 5: Solve for x
    x = 9,950,433.22/3,584.16
  6. Step 6: Final answer
    x = 2,776.22

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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.