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Finding the Fourth Proportional to 5,871.22, 8,785.86 and 5,100.31

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Solution

The fourth proportional to 5,871.22, 8,785.86 and 5,100.31 is: 7,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.22 : 8,785.86 = 5,100.31 : x
  2. Step 2: Convert to fraction form
    5,871.22/8,785.86 = 5,100.31/x
  3. Step 3: Cross multiply
    5,871.22x = 8,785.86 × 5,100.31
  4. Step 4: Simplify right side
    5,871.22x = 44,810,609.62
  5. Step 5: Solve for x
    x = 44,810,609.62/5,871.22
  6. Step 6: Final answer
    x = 7,632.25

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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.