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Finding the Fourth Proportional to 5,815.50, 8,024.31 and 3,458.22

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Solution

The fourth proportional to 5,815.50, 8,024.31 and 3,458.22 is: 4,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.50 : 8,024.31 = 3,458.22 : x
  2. Step 2: Convert to fraction form
    5,815.50/8,024.31 = 3,458.22/x
  3. Step 3: Cross multiply
    5,815.50x = 8,024.31 × 3,458.22
  4. Step 4: Simplify right side
    5,815.50x = 27,749,829.33
  5. Step 5: Solve for x
    x = 27,749,829.33/5,815.50
  6. Step 6: Final answer
    x = 4,771.70

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