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Finding the Fourth Proportional to 5,276.63, 7,914.98 and 1,578.51

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Solution

The fourth proportional to 5,276.63, 7,914.98 and 1,578.51 is: 2,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.63 : 7,914.98 = 1,578.51 : x
  2. Step 2: Convert to fraction form
    5,276.63/7,914.98 = 1,578.51/x
  3. Step 3: Cross multiply
    5,276.63x = 7,914.98 × 1,578.51
  4. Step 4: Simplify right side
    5,276.63x = 12,493,879.03
  5. Step 5: Solve for x
    x = 12,493,879.03/5,276.63
  6. Step 6: Final answer
    x = 2,367.78

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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.