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Finding the Fourth Proportional to 5,759.81, 7,948.53 and 3,242.06

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Solution

The fourth proportional to 5,759.81, 7,948.53 and 3,242.06 is: 4,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.81 : 7,948.53 = 3,242.06 : x
  2. Step 2: Convert to fraction form
    5,759.81/7,948.53 = 3,242.06/x
  3. Step 3: Cross multiply
    5,759.81x = 7,948.53 × 3,242.06
  4. Step 4: Simplify right side
    5,759.81x = 25,769,571.43
  5. Step 5: Solve for x
    x = 25,769,571.43/5,759.81
  6. Step 6: Final answer
    x = 4,474.04

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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.