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Finding the Fourth Proportional to 5,326.93, 7,983.44 and 2,858.86

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Solution

The fourth proportional to 5,326.93, 7,983.44 and 2,858.86 is: 4,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.93 : 7,983.44 = 2,858.86 : x
  2. Step 2: Convert to fraction form
    5,326.93/7,983.44 = 2,858.86/x
  3. Step 3: Cross multiply
    5,326.93x = 7,983.44 × 2,858.86
  4. Step 4: Simplify right side
    5,326.93x = 22,823,524.47
  5. Step 5: Solve for x
    x = 22,823,524.47/5,326.93
  6. Step 6: Final answer
    x = 4,284.56

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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.