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Finding the Fourth Proportional to 4,800.94, 7,201.41 and 1,152.94

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Solution

The fourth proportional to 4,800.94, 7,201.41 and 1,152.94 is: 1,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.94 : 7,201.41 = 1,152.94 : x
  2. Step 2: Convert to fraction form
    4,800.94/7,201.41 = 1,152.94/x
  3. Step 3: Cross multiply
    4,800.94x = 7,201.41 × 1,152.94
  4. Step 4: Simplify right side
    4,800.94x = 8,302,775.64
  5. Step 5: Solve for x
    x = 8,302,775.64/4,800.94
  6. Step 6: Final answer
    x = 1,729.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.