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Finding the Fourth Proportional to 3,828.68, 5,742.07 and 1,055.21

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Solution

The fourth proportional to 3,828.68, 5,742.07 and 1,055.21 is: 1,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.68 : 5,742.07 = 1,055.21 : x
  2. Step 2: Convert to fraction form
    3,828.68/5,742.07 = 1,055.21/x
  3. Step 3: Cross multiply
    3,828.68x = 5,742.07 × 1,055.21
  4. Step 4: Simplify right side
    3,828.68x = 6,059,089.68
  5. Step 5: Solve for x
    x = 6,059,089.68/3,828.68
  6. Step 6: Final answer
    x = 1,582.55

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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.