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Finding the Fourth Proportional to 3,842.43, 5,764.41 and 1,210.34

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Solution

The fourth proportional to 3,842.43, 5,764.41 and 1,210.34 is: 1,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.43 : 5,764.41 = 1,210.34 : x
  2. Step 2: Convert to fraction form
    3,842.43/5,764.41 = 1,210.34/x
  3. Step 3: Cross multiply
    3,842.43x = 5,764.41 × 1,210.34
  4. Step 4: Simplify right side
    3,842.43x = 6,976,893.24
  5. Step 5: Solve for x
    x = 6,976,893.24/3,842.43
  6. Step 6: Final answer
    x = 1,815.75

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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.