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Finding the Fourth Proportional to 3,006, 4,148.76 and 2,179.44

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Solution

The fourth proportional to 3,006, 4,148.76 and 2,179.44 is: 3,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,148.76 = 2,179.44 : x
  2. Step 2: Convert to fraction form
    3,006/4,148.76 = 2,179.44/x
  3. Step 3: Cross multiply
    3,006x = 4,148.76 × 2,179.44
  4. Step 4: Simplify right side
    3,006x = 9,041,973.49
  5. Step 5: Solve for x
    x = 9,041,973.49/3,006
  6. Step 6: Final answer
    x = 3,007.98

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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.