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Finding the Fourth Proportional to 4,676.05, 6,993.42 and 4,159.68

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Solution

The fourth proportional to 4,676.05, 6,993.42 and 4,159.68 is: 6,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.05 : 6,993.42 = 4,159.68 : x
  2. Step 2: Convert to fraction form
    4,676.05/6,993.42 = 4,159.68/x
  3. Step 3: Cross multiply
    4,676.05x = 6,993.42 × 4,159.68
  4. Step 4: Simplify right side
    4,676.05x = 29,090,389.31
  5. Step 5: Solve for x
    x = 29,090,389.31/4,676.05
  6. Step 6: Final answer
    x = 6,221.15

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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.