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Finding the Fourth Proportional to 4,409.56, 6,614.62 and 1,448.20

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Solution

The fourth proportional to 4,409.56, 6,614.62 and 1,448.20 is: 2,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.56 : 6,614.62 = 1,448.20 : x
  2. Step 2: Convert to fraction form
    4,409.56/6,614.62 = 1,448.20/x
  3. Step 3: Cross multiply
    4,409.56x = 6,614.62 × 1,448.20
  4. Step 4: Simplify right side
    4,409.56x = 9,579,292.68
  5. Step 5: Solve for x
    x = 9,579,292.68/4,409.56
  6. Step 6: Final answer
    x = 2,172.39

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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.