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Finding the Fourth Proportional to 3,620.84, 4,996.49 and 2,048.63

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Solution

The fourth proportional to 3,620.84, 4,996.49 and 2,048.63 is: 2,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.84 : 4,996.49 = 2,048.63 : x
  2. Step 2: Convert to fraction form
    3,620.84/4,996.49 = 2,048.63/x
  3. Step 3: Cross multiply
    3,620.84x = 4,996.49 × 2,048.63
  4. Step 4: Simplify right side
    3,620.84x = 10,235,924.08
  5. Step 5: Solve for x
    x = 10,235,924.08/3,620.84
  6. Step 6: Final answer
    x = 2,826.95

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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.