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Finding the Fourth Proportional to 6,179.64, 8,527.86 and 3,385.08

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Solution

The fourth proportional to 6,179.64, 8,527.86 and 3,385.08 is: 4,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.64 : 8,527.86 = 3,385.08 : x
  2. Step 2: Convert to fraction form
    6,179.64/8,527.86 = 3,385.08/x
  3. Step 3: Cross multiply
    6,179.64x = 8,527.86 × 3,385.08
  4. Step 4: Simplify right side
    6,179.64x = 28,867,488.33
  5. Step 5: Solve for x
    x = 28,867,488.33/6,179.64
  6. Step 6: Final answer
    x = 4,671.39

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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.