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Finding the Fourth Proportional to 4,736.84, 7,107.30 and 2,543

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Solution

The fourth proportional to 4,736.84, 7,107.30 and 2,543 is: 3,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.84 : 7,107.30 = 2,543 : x
  2. Step 2: Convert to fraction form
    4,736.84/7,107.30 = 2,543/x
  3. Step 3: Cross multiply
    4,736.84x = 7,107.30 × 2,543
  4. Step 4: Simplify right side
    4,736.84x = 18,073,863.90
  5. Step 5: Solve for x
    x = 18,073,863.90/4,736.84
  6. Step 6: Final answer
    x = 3,815.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.