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Finding the Fourth Proportional to 6,179.70, 8,527.88 and 3,385.20

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Solution

The fourth proportional to 6,179.70, 8,527.88 and 3,385.20 is: 4,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.70 : 8,527.88 = 3,385.20 : x
  2. Step 2: Convert to fraction form
    6,179.70/8,527.88 = 3,385.20/x
  3. Step 3: Cross multiply
    6,179.70x = 8,527.88 × 3,385.20
  4. Step 4: Simplify right side
    6,179.70x = 28,868,579.38
  5. Step 5: Solve for x
    x = 28,868,579.38/6,179.70
  6. Step 6: Final answer
    x = 4,671.52

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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.