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Finding the Fourth Proportional to 5,305.44, 7,953.48 and 2,838

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Solution

The fourth proportional to 5,305.44, 7,953.48 and 2,838 is: 4,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.44 : 7,953.48 = 2,838 : x
  2. Step 2: Convert to fraction form
    5,305.44/7,953.48 = 2,838/x
  3. Step 3: Cross multiply
    5,305.44x = 7,953.48 × 2,838
  4. Step 4: Simplify right side
    5,305.44x = 22,571,976.24
  5. Step 5: Solve for x
    x = 22,571,976.24/5,305.44
  6. Step 6: Final answer
    x = 4,254.50

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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.