Home / 3,828.56-5,742.83-1,055.14

Finding the Fourth Proportional to 3,828.56, 5,742.83 and 1,055.14

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Solution

The fourth proportional to 3,828.56, 5,742.83 and 1,055.14 is: 1,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.56 : 5,742.83 = 1,055.14 : x
  2. Step 2: Convert to fraction form
    3,828.56/5,742.83 = 1,055.14/x
  3. Step 3: Cross multiply
    3,828.56x = 5,742.83 × 1,055.14
  4. Step 4: Simplify right side
    3,828.56x = 6,059,477.93
  5. Step 5: Solve for x
    x = 6,059,477.93/3,828.56
  6. Step 6: Final answer
    x = 1,582.71

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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.