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Finding the Fourth Proportional to 3,293.07, 4,932.56 and 2,665.65

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Solution

The fourth proportional to 3,293.07, 4,932.56 and 2,665.65 is: 3,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.07 : 4,932.56 = 2,665.65 : x
  2. Step 2: Convert to fraction form
    3,293.07/4,932.56 = 2,665.65/x
  3. Step 3: Cross multiply
    3,293.07x = 4,932.56 × 2,665.65
  4. Step 4: Simplify right side
    3,293.07x = 13,148,484.23
  5. Step 5: Solve for x
    x = 13,148,484.23/3,293.07
  6. Step 6: Final answer
    x = 3,992.78

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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.