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Finding the Fourth Proportional to 4,173.80, 5,759.64 and 2,405.43

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Solution

The fourth proportional to 4,173.80, 5,759.64 and 2,405.43 is: 3,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.80 : 5,759.64 = 2,405.43 : x
  2. Step 2: Convert to fraction form
    4,173.80/5,759.64 = 2,405.43/x
  3. Step 3: Cross multiply
    4,173.80x = 5,759.64 × 2,405.43
  4. Step 4: Simplify right side
    4,173.80x = 13,854,410.85
  5. Step 5: Solve for x
    x = 13,854,410.85/4,173.80
  6. Step 6: Final answer
    x = 3,319.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.