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Finding the Fourth Proportional to 3,823.35, 5,735.02 and 3,079.47

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Solution

The fourth proportional to 3,823.35, 5,735.02 and 3,079.47 is: 4,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.35 : 5,735.02 = 3,079.47 : x
  2. Step 2: Convert to fraction form
    3,823.35/5,735.02 = 3,079.47/x
  3. Step 3: Cross multiply
    3,823.35x = 5,735.02 × 3,079.47
  4. Step 4: Simplify right side
    3,823.35x = 17,660,822.04
  5. Step 5: Solve for x
    x = 17,660,822.04/3,823.35
  6. Step 6: Final answer
    x = 4,619.20

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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.