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Finding the Fourth Proportional to 3,576.84, 4,936.63 and 2,085.63

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Solution

The fourth proportional to 3,576.84, 4,936.63 and 2,085.63 is: 2,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.84 : 4,936.63 = 2,085.63 : x
  2. Step 2: Convert to fraction form
    3,576.84/4,936.63 = 2,085.63/x
  3. Step 3: Cross multiply
    3,576.84x = 4,936.63 × 2,085.63
  4. Step 4: Simplify right side
    3,576.84x = 10,295,958.94
  5. Step 5: Solve for x
    x = 10,295,958.94/3,576.84
  6. Step 6: Final answer
    x = 2,878.51

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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.