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Finding the Fourth Proportional to 4,676.05, 7,013.91 and 1,166.05

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Solution

The fourth proportional to 4,676.05, 7,013.91 and 1,166.05 is: 1,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.05 : 7,013.91 = 1,166.05 : x
  2. Step 2: Convert to fraction form
    4,676.05/7,013.91 = 1,166.05/x
  3. Step 3: Cross multiply
    4,676.05x = 7,013.91 × 1,166.05
  4. Step 4: Simplify right side
    4,676.05x = 8,178,569.76
  5. Step 5: Solve for x
    x = 8,178,569.76/4,676.05
  6. Step 6: Final answer
    x = 1,749.03

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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.