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Finding the Fourth Proportional to 3,584.96, 4,947.98 and 2,257.77

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Solution

The fourth proportional to 3,584.96, 4,947.98 and 2,257.77 is: 3,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.96 : 4,947.98 = 2,257.77 : x
  2. Step 2: Convert to fraction form
    3,584.96/4,947.98 = 2,257.77/x
  3. Step 3: Cross multiply
    3,584.96x = 4,947.98 × 2,257.77
  4. Step 4: Simplify right side
    3,584.96x = 11,171,389.52
  5. Step 5: Solve for x
    x = 11,171,389.52/3,584.96
  6. Step 6: Final answer
    x = 3,116.19

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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.