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Finding the Fourth Proportional to 6,219.18, 8,579.84 and 4,119.66

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Solution

The fourth proportional to 6,219.18, 8,579.84 and 4,119.66 is: 5,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.18 : 8,579.84 = 4,119.66 : x
  2. Step 2: Convert to fraction form
    6,219.18/8,579.84 = 4,119.66/x
  3. Step 3: Cross multiply
    6,219.18x = 8,579.84 × 4,119.66
  4. Step 4: Simplify right side
    6,219.18x = 35,346,023.65
  5. Step 5: Solve for x
    x = 35,346,023.65/6,219.18
  6. Step 6: Final answer
    x = 5,683.39

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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.