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Finding the Fourth Proportional to 4,884.44, 6,740.10 and 2,894.66

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Solution

The fourth proportional to 4,884.44, 6,740.10 and 2,894.66 is: 3,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.44 : 6,740.10 = 2,894.66 : x
  2. Step 2: Convert to fraction form
    4,884.44/6,740.10 = 2,894.66/x
  3. Step 3: Cross multiply
    4,884.44x = 6,740.10 × 2,894.66
  4. Step 4: Simplify right side
    4,884.44x = 19,510,297.87
  5. Step 5: Solve for x
    x = 19,510,297.87/4,884.44
  6. Step 6: Final answer
    x = 3,994.38

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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.