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Finding the Fourth Proportional to 6,199.34, 8,555.01 and 3,404.66

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Solution

The fourth proportional to 6,199.34, 8,555.01 and 3,404.66 is: 4,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.34 : 8,555.01 = 3,404.66 : x
  2. Step 2: Convert to fraction form
    6,199.34/8,555.01 = 3,404.66/x
  3. Step 3: Cross multiply
    6,199.34x = 8,555.01 × 3,404.66
  4. Step 4: Simplify right side
    6,199.34x = 29,126,900.35
  5. Step 5: Solve for x
    x = 29,126,900.35/6,199.34
  6. Step 6: Final answer
    x = 4,698.39

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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.