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Finding the Fourth Proportional to 3,539.92, 4,884.56 and 2,047.60

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Solution

The fourth proportional to 3,539.92, 4,884.56 and 2,047.60 is: 2,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.92 : 4,884.56 = 2,047.60 : x
  2. Step 2: Convert to fraction form
    3,539.92/4,884.56 = 2,047.60/x
  3. Step 3: Cross multiply
    3,539.92x = 4,884.56 × 2,047.60
  4. Step 4: Simplify right side
    3,539.92x = 10,001,625.06
  5. Step 5: Solve for x
    x = 10,001,625.06/3,539.92
  6. Step 6: Final answer
    x = 2,825.38

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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.