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Finding the Fourth Proportional to 5,786.58, 7,978.03 and 4,723.26

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Solution

The fourth proportional to 5,786.58, 7,978.03 and 4,723.26 is: 6,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.58 : 7,978.03 = 4,723.26 : x
  2. Step 2: Convert to fraction form
    5,786.58/7,978.03 = 4,723.26/x
  3. Step 3: Cross multiply
    5,786.58x = 7,978.03 × 4,723.26
  4. Step 4: Simplify right side
    5,786.58x = 37,682,268.25
  5. Step 5: Solve for x
    x = 37,682,268.25/5,786.58
  6. Step 6: Final answer
    x = 6,512.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.