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Finding the Fourth Proportional to 6,682.18, 9,221.19 and 3,697.90

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Solution

The fourth proportional to 6,682.18, 9,221.19 and 3,697.90 is: 5,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.18 : 9,221.19 = 3,697.90 : x
  2. Step 2: Convert to fraction form
    6,682.18/9,221.19 = 3,697.90/x
  3. Step 3: Cross multiply
    6,682.18x = 9,221.19 × 3,697.90
  4. Step 4: Simplify right side
    6,682.18x = 34,099,038.50
  5. Step 5: Solve for x
    x = 34,099,038.50/6,682.18
  6. Step 6: Final answer
    x = 5,102.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.