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Finding the Fourth Proportional to 3,828.90, 5,742.27 and 1,363.86

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Solution

The fourth proportional to 3,828.90, 5,742.27 and 1,363.86 is: 2,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.90 : 5,742.27 = 1,363.86 : x
  2. Step 2: Convert to fraction form
    3,828.90/5,742.27 = 1,363.86/x
  3. Step 3: Cross multiply
    3,828.90x = 5,742.27 × 1,363.86
  4. Step 4: Simplify right side
    3,828.90x = 7,831,652.36
  5. Step 5: Solve for x
    x = 7,831,652.36/3,828.90
  6. Step 6: Final answer
    x = 2,045.41

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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.