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Finding the Fourth Proportional to 6,529.38, 9,796.48 and 3,021.10

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Solution

The fourth proportional to 6,529.38, 9,796.48 and 3,021.10 is: 4,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.38 : 9,796.48 = 3,021.10 : x
  2. Step 2: Convert to fraction form
    6,529.38/9,796.48 = 3,021.10/x
  3. Step 3: Cross multiply
    6,529.38x = 9,796.48 × 3,021.10
  4. Step 4: Simplify right side
    6,529.38x = 29,596,145.73
  5. Step 5: Solve for x
    x = 29,596,145.73/6,529.38
  6. Step 6: Final answer
    x = 4,532.77

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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.