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Finding the Fourth Proportional to 4,943.72, 7,412.34 and 1,611.56

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Solution

The fourth proportional to 4,943.72, 7,412.34 and 1,611.56 is: 2,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.72 : 7,412.34 = 1,611.56 : x
  2. Step 2: Convert to fraction form
    4,943.72/7,412.34 = 1,611.56/x
  3. Step 3: Cross multiply
    4,943.72x = 7,412.34 × 1,611.56
  4. Step 4: Simplify right side
    4,943.72x = 11,945,430.65
  5. Step 5: Solve for x
    x = 11,945,430.65/4,943.72
  6. Step 6: Final answer
    x = 2,416.28

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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.