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Finding the Fourth Proportional to 3,825.90, 5,739.53 and 1,360.67

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Solution

The fourth proportional to 3,825.90, 5,739.53 and 1,360.67 is: 2,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.90 : 5,739.53 = 1,360.67 : x
  2. Step 2: Convert to fraction form
    3,825.90/5,739.53 = 1,360.67/x
  3. Step 3: Cross multiply
    3,825.90x = 5,739.53 × 1,360.67
  4. Step 4: Simplify right side
    3,825.90x = 7,809,570.78
  5. Step 5: Solve for x
    x = 7,809,570.78/3,825.90
  6. Step 6: Final answer
    x = 2,041.24

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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.