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Finding the Fourth Proportional to 6,157.79, 9,239.53 and 3,820.54

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Solution

The fourth proportional to 6,157.79, 9,239.53 and 3,820.54 is: 5,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.79 : 9,239.53 = 3,820.54 : x
  2. Step 2: Convert to fraction form
    6,157.79/9,239.53 = 3,820.54/x
  3. Step 3: Cross multiply
    6,157.79x = 9,239.53 × 3,820.54
  4. Step 4: Simplify right side
    6,157.79x = 35,299,974.84
  5. Step 5: Solve for x
    x = 35,299,974.84/6,157.79
  6. Step 6: Final answer
    x = 5,732.57

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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.