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Finding the Fourth Proportional to 4,850.93, 7,276.41 and 1,929.22

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Solution

The fourth proportional to 4,850.93, 7,276.41 and 1,929.22 is: 2,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.93 : 7,276.41 = 1,929.22 : x
  2. Step 2: Convert to fraction form
    4,850.93/7,276.41 = 1,929.22/x
  3. Step 3: Cross multiply
    4,850.93x = 7,276.41 × 1,929.22
  4. Step 4: Simplify right side
    4,850.93x = 14,037,795.70
  5. Step 5: Solve for x
    x = 14,037,795.70/4,850.93
  6. Step 6: Final answer
    x = 2,893.84

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Why These Related Problems?

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