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Finding the Fourth Proportional to 3,828.51, 5,742.09 and 1,054.51

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Solution

The fourth proportional to 3,828.51, 5,742.09 and 1,054.51 is: 1,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.51 : 5,742.09 = 1,054.51 : x
  2. Step 2: Convert to fraction form
    3,828.51/5,742.09 = 1,054.51/x
  3. Step 3: Cross multiply
    3,828.51x = 5,742.09 × 1,054.51
  4. Step 4: Simplify right side
    3,828.51x = 6,055,091.33
  5. Step 5: Solve for x
    x = 6,055,091.33/3,828.51
  6. Step 6: Final answer
    x = 1,581.58

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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.