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Finding the Fourth Proportional to 3,539.67, 4,884.85 and 2,048.06

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Solution

The fourth proportional to 3,539.67, 4,884.85 and 2,048.06 is: 2,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.67 : 4,884.85 = 2,048.06 : x
  2. Step 2: Convert to fraction form
    3,539.67/4,884.85 = 2,048.06/x
  3. Step 3: Cross multiply
    3,539.67x = 4,884.85 × 2,048.06
  4. Step 4: Simplify right side
    3,539.67x = 10,004,441.47
  5. Step 5: Solve for x
    x = 10,004,441.47/3,539.67
  6. Step 6: Final answer
    x = 2,826.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.