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Finding the Fourth Proportional to 4,853.72, 7,270.04 and 3,005.30

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Solution

The fourth proportional to 4,853.72, 7,270.04 and 3,005.30 is: 4,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.72 : 7,270.04 = 3,005.30 : x
  2. Step 2: Convert to fraction form
    4,853.72/7,270.04 = 3,005.30/x
  3. Step 3: Cross multiply
    4,853.72x = 7,270.04 × 3,005.30
  4. Step 4: Simplify right side
    4,853.72x = 21,848,651.21
  5. Step 5: Solve for x
    x = 21,848,651.21/4,853.72
  6. Step 6: Final answer
    x = 4,501.42

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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.