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Finding the Fourth Proportional to 3,874.48, 5,812.26 and 1,409.02

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Solution

The fourth proportional to 3,874.48, 5,812.26 and 1,409.02 is: 2,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.48 : 5,812.26 = 1,409.02 : x
  2. Step 2: Convert to fraction form
    3,874.48/5,812.26 = 1,409.02/x
  3. Step 3: Cross multiply
    3,874.48x = 5,812.26 × 1,409.02
  4. Step 4: Simplify right side
    3,874.48x = 8,189,590.59
  5. Step 5: Solve for x
    x = 8,189,590.59/3,874.48
  6. Step 6: Final answer
    x = 2,113.73

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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.