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Finding the Fourth Proportional to 3,874.56, 5,812.56 and 1,409.32

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Solution

The fourth proportional to 3,874.56, 5,812.56 and 1,409.32 is: 2,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.56 : 5,812.56 = 1,409.32 : x
  2. Step 2: Convert to fraction form
    3,874.56/5,812.56 = 1,409.32/x
  3. Step 3: Cross multiply
    3,874.56x = 5,812.56 × 1,409.32
  4. Step 4: Simplify right side
    3,874.56x = 8,191,757.06
  5. Step 5: Solve for x
    x = 8,191,757.06/3,874.56
  6. Step 6: Final answer
    x = 2,114.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.