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Finding the Fourth Proportional to 5,825.50, 8,039.22 and 3,467.72

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Solution

The fourth proportional to 5,825.50, 8,039.22 and 3,467.72 is: 4,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.50 : 8,039.22 = 3,467.72 : x
  2. Step 2: Convert to fraction form
    5,825.50/8,039.22 = 3,467.72/x
  3. Step 3: Cross multiply
    5,825.50x = 8,039.22 × 3,467.72
  4. Step 4: Simplify right side
    5,825.50x = 27,877,771.07
  5. Step 5: Solve for x
    x = 27,877,771.07/5,825.50
  6. Step 6: Final answer
    x = 4,785.47

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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.