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Finding the Fourth Proportional to 4,857.52, 7,290.33 and 3,609.31

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Solution

The fourth proportional to 4,857.52, 7,290.33 and 3,609.31 is: 5,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.52 : 7,290.33 = 3,609.31 : x
  2. Step 2: Convert to fraction form
    4,857.52/7,290.33 = 3,609.31/x
  3. Step 3: Cross multiply
    4,857.52x = 7,290.33 × 3,609.31
  4. Step 4: Simplify right side
    4,857.52x = 26,313,060.97
  5. Step 5: Solve for x
    x = 26,313,060.97/4,857.52
  6. Step 6: Final answer
    x = 5,416.97

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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.