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Finding the Fourth Proportional to 6,682.01, 9,220.59 and 3,697.84

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Solution

The fourth proportional to 6,682.01, 9,220.59 and 3,697.84 is: 5,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.01 : 9,220.59 = 3,697.84 : x
  2. Step 2: Convert to fraction form
    6,682.01/9,220.59 = 3,697.84/x
  3. Step 3: Cross multiply
    6,682.01x = 9,220.59 × 3,697.84
  4. Step 4: Simplify right side
    6,682.01x = 34,096,266.53
  5. Step 5: Solve for x
    x = 34,096,266.53/6,682.01
  6. Step 6: Final answer
    x = 5,102.70

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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.