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Finding the Fourth Proportional to 3,428.87, 4,733.84 and 2,252.00

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Solution

The fourth proportional to 3,428.87, 4,733.84 and 2,252.00 is: 3,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.87 : 4,733.84 = 2,252.00 : x
  2. Step 2: Convert to fraction form
    3,428.87/4,733.84 = 2,252.00/x
  3. Step 3: Cross multiply
    3,428.87x = 4,733.84 × 2,252.00
  4. Step 4: Simplify right side
    3,428.87x = 10,660,625.14
  5. Step 5: Solve for x
    x = 10,660,625.14/3,428.87
  6. Step 6: Final answer
    x = 3,109.08

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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.