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Finding the Fourth Proportional to 3,594.82, 4,961.08 and 2,023.02

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Solution

The fourth proportional to 3,594.82, 4,961.08 and 2,023.02 is: 2,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.82 : 4,961.08 = 2,023.02 : x
  2. Step 2: Convert to fraction form
    3,594.82/4,961.08 = 2,023.02/x
  3. Step 3: Cross multiply
    3,594.82x = 4,961.08 × 2,023.02
  4. Step 4: Simplify right side
    3,594.82x = 10,036,364.06
  5. Step 5: Solve for x
    x = 10,036,364.06/3,594.82
  6. Step 6: Final answer
    x = 2,791.90

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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.