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Finding the Fourth Proportional to 6,199.56, 8,555.46 and 3,405

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Solution

The fourth proportional to 6,199.56, 8,555.46 and 3,405 is: 4,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.56 : 8,555.46 = 3,405 : x
  2. Step 2: Convert to fraction form
    6,199.56/8,555.46 = 3,405/x
  3. Step 3: Cross multiply
    6,199.56x = 8,555.46 × 3,405
  4. Step 4: Simplify right side
    6,199.56x = 29,131,341.30
  5. Step 5: Solve for x
    x = 29,131,341.30/6,199.56
  6. Step 6: Final answer
    x = 4,698.94

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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.