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Finding the Fourth Proportional to 3,828.52, 5,742.60 and 1,055.17

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Solution

The fourth proportional to 3,828.52, 5,742.60 and 1,055.17 is: 1,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.52 : 5,742.60 = 1,055.17 : x
  2. Step 2: Convert to fraction form
    3,828.52/5,742.60 = 1,055.17/x
  3. Step 3: Cross multiply
    3,828.52x = 5,742.60 × 1,055.17
  4. Step 4: Simplify right side
    3,828.52x = 6,059,419.24
  5. Step 5: Solve for x
    x = 6,059,419.24/3,828.52
  6. Step 6: Final answer
    x = 1,582.71

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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.