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Finding the Fourth Proportional to 4,200.69, 6,301.05 and 1,892.19

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Solution

The fourth proportional to 4,200.69, 6,301.05 and 1,892.19 is: 2,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.69 : 6,301.05 = 1,892.19 : x
  2. Step 2: Convert to fraction form
    4,200.69/6,301.05 = 1,892.19/x
  3. Step 3: Cross multiply
    4,200.69x = 6,301.05 × 1,892.19
  4. Step 4: Simplify right side
    4,200.69x = 11,922,783.80
  5. Step 5: Solve for x
    x = 11,922,783.80/4,200.69
  6. Step 6: Final answer
    x = 2,838.29

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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.