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Finding the Fourth Proportional to 3,676.61, 5,515.12 and 1,178.02

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Solution

The fourth proportional to 3,676.61, 5,515.12 and 1,178.02 is: 1,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.61 : 5,515.12 = 1,178.02 : x
  2. Step 2: Convert to fraction form
    3,676.61/5,515.12 = 1,178.02/x
  3. Step 3: Cross multiply
    3,676.61x = 5,515.12 × 1,178.02
  4. Step 4: Simplify right side
    3,676.61x = 6,496,921.66
  5. Step 5: Solve for x
    x = 6,496,921.66/3,676.61
  6. Step 6: Final answer
    x = 1,767.10

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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.