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Finding the Fourth Proportional to 4,992.21, 6,889.88 and 4,151.46

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Solution

The fourth proportional to 4,992.21, 6,889.88 and 4,151.46 is: 5,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.21 : 6,889.88 = 4,151.46 : x
  2. Step 2: Convert to fraction form
    4,992.21/6,889.88 = 4,151.46/x
  3. Step 3: Cross multiply
    4,992.21x = 6,889.88 × 4,151.46
  4. Step 4: Simplify right side
    4,992.21x = 28,603,061.22
  5. Step 5: Solve for x
    x = 28,603,061.22/4,992.21
  6. Step 6: Final answer
    x = 5,729.54

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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.