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Finding the Fourth Proportional to 4,252.64, 5,866.74 and 2,834.94

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Solution

The fourth proportional to 4,252.64, 5,866.74 and 2,834.94 is: 3,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.64 : 5,866.74 = 2,834.94 : x
  2. Step 2: Convert to fraction form
    4,252.64/5,866.74 = 2,834.94/x
  3. Step 3: Cross multiply
    4,252.64x = 5,866.74 × 2,834.94
  4. Step 4: Simplify right side
    4,252.64x = 16,631,877.90
  5. Step 5: Solve for x
    x = 16,631,877.90/4,252.64
  6. Step 6: Final answer
    x = 3,910.96

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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.