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Finding the Fourth Proportional to 5,803.20, 8,683.20 and 3,859.20

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Solution

The fourth proportional to 5,803.20, 8,683.20 and 3,859.20 is: 5,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.20 : 8,683.20 = 3,859.20 : x
  2. Step 2: Convert to fraction form
    5,803.20/8,683.20 = 3,859.20/x
  3. Step 3: Cross multiply
    5,803.20x = 8,683.20 × 3,859.20
  4. Step 4: Simplify right side
    5,803.20x = 33,510,205.44
  5. Step 5: Solve for x
    x = 33,510,205.44/5,803.20
  6. Step 6: Final answer
    x = 5,774.44

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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.