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Finding the Fourth Proportional to 3,676.19, 5,509.76 and 2,006.30

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Solution

The fourth proportional to 3,676.19, 5,509.76 and 2,006.30 is: 3,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.19 : 5,509.76 = 2,006.30 : x
  2. Step 2: Convert to fraction form
    3,676.19/5,509.76 = 2,006.30/x
  3. Step 3: Cross multiply
    3,676.19x = 5,509.76 × 2,006.30
  4. Step 4: Simplify right side
    3,676.19x = 11,054,235.23
  5. Step 5: Solve for x
    x = 11,054,235.23/3,676.19
  6. Step 6: Final answer
    x = 3,006.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.