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Finding the Fourth Proportional to 5,972.21, 8,222.83 and 5,418.63

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Solution

The fourth proportional to 5,972.21, 8,222.83 and 5,418.63 is: 7,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.21 : 8,222.83 = 5,418.63 : x
  2. Step 2: Convert to fraction form
    5,972.21/8,222.83 = 5,418.63/x
  3. Step 3: Cross multiply
    5,972.21x = 8,222.83 × 5,418.63
  4. Step 4: Simplify right side
    5,972.21x = 44,556,459.78
  5. Step 5: Solve for x
    x = 44,556,459.78/5,972.21
  6. Step 6: Final answer
    x = 7,460.63

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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.