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Finding the Fourth Proportional to 5,973.22, 8,957.67 and 2,023.84

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Solution

The fourth proportional to 5,973.22, 8,957.67 and 2,023.84 is: 3,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.22 : 8,957.67 = 2,023.84 : x
  2. Step 2: Convert to fraction form
    5,973.22/8,957.67 = 2,023.84/x
  3. Step 3: Cross multiply
    5,973.22x = 8,957.67 × 2,023.84
  4. Step 4: Simplify right side
    5,973.22x = 18,128,890.85
  5. Step 5: Solve for x
    x = 18,128,890.85/5,973.22
  6. Step 6: Final answer
    x = 3,035.03

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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.