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Finding the Fourth Proportional to 5,244.22, 7,825.43 and 4,778.46

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Solution

The fourth proportional to 5,244.22, 7,825.43 and 4,778.46 is: 7,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.22 : 7,825.43 = 4,778.46 : x
  2. Step 2: Convert to fraction form
    5,244.22/7,825.43 = 4,778.46/x
  3. Step 3: Cross multiply
    5,244.22x = 7,825.43 × 4,778.46
  4. Step 4: Simplify right side
    5,244.22x = 37,393,504.24
  5. Step 5: Solve for x
    x = 37,393,504.24/5,244.22
  6. Step 6: Final answer
    x = 7,130.42

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