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Finding the Fourth Proportional to 3,673.10, 5,068.86 and 1,994.49

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Solution

The fourth proportional to 3,673.10, 5,068.86 and 1,994.49 is: 2,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.10 : 5,068.86 = 1,994.49 : x
  2. Step 2: Convert to fraction form
    3,673.10/5,068.86 = 1,994.49/x
  3. Step 3: Cross multiply
    3,673.10x = 5,068.86 × 1,994.49
  4. Step 4: Simplify right side
    3,673.10x = 10,109,794.32
  5. Step 5: Solve for x
    x = 10,109,794.32/3,673.10
  6. Step 6: Final answer
    x = 2,752.39

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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.