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Finding the Fourth Proportional to 3,676.74, 5,515.41 and 1,178.29

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Solution

The fourth proportional to 3,676.74, 5,515.41 and 1,178.29 is: 1,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.74 : 5,515.41 = 1,178.29 : x
  2. Step 2: Convert to fraction form
    3,676.74/5,515.41 = 1,178.29/x
  3. Step 3: Cross multiply
    3,676.74x = 5,515.41 × 1,178.29
  4. Step 4: Simplify right side
    3,676.74x = 6,498,752.45
  5. Step 5: Solve for x
    x = 6,498,752.45/3,676.74
  6. Step 6: Final answer
    x = 1,767.53

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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.