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Finding the Fourth Proportional to 3,186.72, 4,778.64 and 1,237.44

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Solution

The fourth proportional to 3,186.72, 4,778.64 and 1,237.44 is: 1,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.72 : 4,778.64 = 1,237.44 : x
  2. Step 2: Convert to fraction form
    3,186.72/4,778.64 = 1,237.44/x
  3. Step 3: Cross multiply
    3,186.72x = 4,778.64 × 1,237.44
  4. Step 4: Simplify right side
    3,186.72x = 5,913,280.28
  5. Step 5: Solve for x
    x = 5,913,280.28/3,186.72
  6. Step 6: Final answer
    x = 1,855.60

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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.