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Finding the Fourth Proportional to 3,680.86, 5,518.59 and 1,732

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Solution

The fourth proportional to 3,680.86, 5,518.59 and 1,732 is: 2,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.86 : 5,518.59 = 1,732 : x
  2. Step 2: Convert to fraction form
    3,680.86/5,518.59 = 1,732/x
  3. Step 3: Cross multiply
    3,680.86x = 5,518.59 × 1,732
  4. Step 4: Simplify right side
    3,680.86x = 9,558,197.88
  5. Step 5: Solve for x
    x = 9,558,197.88/3,680.86
  6. Step 6: Final answer
    x = 2,596.73

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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.