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Finding the Fourth Proportional to 3,682.36, 5,520.84 and 1,733.50

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Solution

The fourth proportional to 3,682.36, 5,520.84 and 1,733.50 is: 2,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.36 : 5,520.84 = 1,733.50 : x
  2. Step 2: Convert to fraction form
    3,682.36/5,520.84 = 1,733.50/x
  3. Step 3: Cross multiply
    3,682.36x = 5,520.84 × 1,733.50
  4. Step 4: Simplify right side
    3,682.36x = 9,570,376.14
  5. Step 5: Solve for x
    x = 9,570,376.14/3,682.36
  6. Step 6: Final answer
    x = 2,598.98

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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.