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Finding the Fourth Proportional to 5,732.63, 7,911.12 and 3,215.30

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Solution

The fourth proportional to 5,732.63, 7,911.12 and 3,215.30 is: 4,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.63 : 7,911.12 = 3,215.30 : x
  2. Step 2: Convert to fraction form
    5,732.63/7,911.12 = 3,215.30/x
  3. Step 3: Cross multiply
    5,732.63x = 7,911.12 × 3,215.30
  4. Step 4: Simplify right side
    5,732.63x = 25,436,624.14
  5. Step 5: Solve for x
    x = 25,436,624.14/5,732.63
  6. Step 6: Final answer
    x = 4,437.16

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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.