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Finding the Fourth Proportional to 3,138.94, 4,690.35 and 2,394.46

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Solution

The fourth proportional to 3,138.94, 4,690.35 and 2,394.46 is: 3,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.94 : 4,690.35 = 2,394.46 : x
  2. Step 2: Convert to fraction form
    3,138.94/4,690.35 = 2,394.46/x
  3. Step 3: Cross multiply
    3,138.94x = 4,690.35 × 2,394.46
  4. Step 4: Simplify right side
    3,138.94x = 11,230,843.49
  5. Step 5: Solve for x
    x = 11,230,843.49/3,138.94
  6. Step 6: Final answer
    x = 3,577.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.