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Finding the Fourth Proportional to 6,029.36, 9,043.96 and 3,658.01

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Solution

The fourth proportional to 6,029.36, 9,043.96 and 3,658.01 is: 5,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.36 : 9,043.96 = 3,658.01 : x
  2. Step 2: Convert to fraction form
    6,029.36/9,043.96 = 3,658.01/x
  3. Step 3: Cross multiply
    6,029.36x = 9,043.96 × 3,658.01
  4. Step 4: Simplify right side
    6,029.36x = 33,082,841.75
  5. Step 5: Solve for x
    x = 33,082,841.75/6,029.36
  6. Step 6: Final answer
    x = 5,486.96

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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.