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Finding the Fourth Proportional to 3,994.06, 5,512.74 and 2,594.38

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Solution

The fourth proportional to 3,994.06, 5,512.74 and 2,594.38 is: 3,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.06 : 5,512.74 = 2,594.38 : x
  2. Step 2: Convert to fraction form
    3,994.06/5,512.74 = 2,594.38/x
  3. Step 3: Cross multiply
    3,994.06x = 5,512.74 × 2,594.38
  4. Step 4: Simplify right side
    3,994.06x = 14,302,142.40
  5. Step 5: Solve for x
    x = 14,302,142.40/3,994.06
  6. Step 6: Final answer
    x = 3,580.85

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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.