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Finding the Fourth Proportional to 3,000.36, 4,140.63 and 2,006.04

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Solution

The fourth proportional to 3,000.36, 4,140.63 and 2,006.04 is: 2,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.36 : 4,140.63 = 2,006.04 : x
  2. Step 2: Convert to fraction form
    3,000.36/4,140.63 = 2,006.04/x
  3. Step 3: Cross multiply
    3,000.36x = 4,140.63 × 2,006.04
  4. Step 4: Simplify right side
    3,000.36x = 8,306,269.41
  5. Step 5: Solve for x
    x = 8,306,269.41/3,000.36
  6. Step 6: Final answer
    x = 2,768.42

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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.