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Finding the Fourth Proportional to 3,828.57, 5,742.14 and 1,054.87

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Solution

The fourth proportional to 3,828.57, 5,742.14 and 1,054.87 is: 1,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.57 : 5,742.14 = 1,054.87 : x
  2. Step 2: Convert to fraction form
    3,828.57/5,742.14 = 1,054.87/x
  3. Step 3: Cross multiply
    3,828.57x = 5,742.14 × 1,054.87
  4. Step 4: Simplify right side
    3,828.57x = 6,057,229.83
  5. Step 5: Solve for x
    x = 6,057,229.83/3,828.57
  6. Step 6: Final answer
    x = 1,582.11

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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.