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Finding the Fourth Proportional to 3,539, 4,884.12 and 2,047.34

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Solution

The fourth proportional to 3,539, 4,884.12 and 2,047.34 is: 2,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539 : 4,884.12 = 2,047.34 : x
  2. Step 2: Convert to fraction form
    3,539/4,884.12 = 2,047.34/x
  3. Step 3: Cross multiply
    3,539x = 4,884.12 × 2,047.34
  4. Step 4: Simplify right side
    3,539x = 9,999,454.24
  5. Step 5: Solve for x
    x = 9,999,454.24/3,539
  6. Step 6: Final answer
    x = 2,825.50

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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.