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Finding the Fourth Proportional to 3,294.93, 4,944.83 and 2,653.41

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Solution

The fourth proportional to 3,294.93, 4,944.83 and 2,653.41 is: 3,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.93 : 4,944.83 = 2,653.41 : x
  2. Step 2: Convert to fraction form
    3,294.93/4,944.83 = 2,653.41/x
  3. Step 3: Cross multiply
    3,294.93x = 4,944.83 × 2,653.41
  4. Step 4: Simplify right side
    3,294.93x = 13,120,661.37
  5. Step 5: Solve for x
    x = 13,120,661.37/3,294.93
  6. Step 6: Final answer
    x = 3,982.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.