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Finding the Fourth Proportional to 3,783.92, 5,215.80 and 3,036.56

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Solution

The fourth proportional to 3,783.92, 5,215.80 and 3,036.56 is: 4,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.92 : 5,215.80 = 3,036.56 : x
  2. Step 2: Convert to fraction form
    3,783.92/5,215.80 = 3,036.56/x
  3. Step 3: Cross multiply
    3,783.92x = 5,215.80 × 3,036.56
  4. Step 4: Simplify right side
    3,783.92x = 15,838,089.65
  5. Step 5: Solve for x
    x = 15,838,089.65/3,783.92
  6. Step 6: Final answer
    x = 4,185.63

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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.