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Finding the Fourth Proportional to 3,825.64, 5,739.99 and 1,360.63

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Solution

The fourth proportional to 3,825.64, 5,739.99 and 1,360.63 is: 2,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.64 : 5,739.99 = 1,360.63 : x
  2. Step 2: Convert to fraction form
    3,825.64/5,739.99 = 1,360.63/x
  3. Step 3: Cross multiply
    3,825.64x = 5,739.99 × 1,360.63
  4. Step 4: Simplify right side
    3,825.64x = 7,810,002.59
  5. Step 5: Solve for x
    x = 7,810,002.59/3,825.64
  6. Step 6: Final answer
    x = 2,041.49

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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.