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Finding the Fourth Proportional to 5,759.93, 7,949.19 and 3,242.45

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Solution

The fourth proportional to 5,759.93, 7,949.19 and 3,242.45 is: 4,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.93 : 7,949.19 = 3,242.45 : x
  2. Step 2: Convert to fraction form
    5,759.93/7,949.19 = 3,242.45/x
  3. Step 3: Cross multiply
    5,759.93x = 7,949.19 × 3,242.45
  4. Step 4: Simplify right side
    5,759.93x = 25,774,811.37
  5. Step 5: Solve for x
    x = 25,774,811.37/5,759.93
  6. Step 6: Final answer
    x = 4,474.85

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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.