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Finding the Fourth Proportional to 4,884.39, 7,323.62 and 1,919.30

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Solution

The fourth proportional to 4,884.39, 7,323.62 and 1,919.30 is: 2,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.39 : 7,323.62 = 1,919.30 : x
  2. Step 2: Convert to fraction form
    4,884.39/7,323.62 = 1,919.30/x
  3. Step 3: Cross multiply
    4,884.39x = 7,323.62 × 1,919.30
  4. Step 4: Simplify right side
    4,884.39x = 14,056,177.65
  5. Step 5: Solve for x
    x = 14,056,177.65/4,884.39
  6. Step 6: Final answer
    x = 2,877.78

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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.