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Finding the Fourth Proportional to 4,340, 6,507.26 and 3,682.11

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Solution

The fourth proportional to 4,340, 6,507.26 and 3,682.11 is: 5,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340 : 6,507.26 = 3,682.11 : x
  2. Step 2: Convert to fraction form
    4,340/6,507.26 = 3,682.11/x
  3. Step 3: Cross multiply
    4,340x = 6,507.26 × 3,682.11
  4. Step 4: Simplify right side
    4,340x = 23,960,447.12
  5. Step 5: Solve for x
    x = 23,960,447.12/4,340
  6. Step 6: Final answer
    x = 5,520.84

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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.