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Finding the Fourth Proportional to 5,380.63, 8,023.86 and 5,331.42

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Solution

The fourth proportional to 5,380.63, 8,023.86 and 5,331.42 is: 7,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.63 : 8,023.86 = 5,331.42 : x
  2. Step 2: Convert to fraction form
    5,380.63/8,023.86 = 5,331.42/x
  3. Step 3: Cross multiply
    5,380.63x = 8,023.86 × 5,331.42
  4. Step 4: Simplify right side
    5,380.63x = 42,778,567.68
  5. Step 5: Solve for x
    x = 42,778,567.68/5,380.63
  6. Step 6: Final answer
    x = 7,950.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.