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Finding the Fourth Proportional to 3,606.32, 5,409.42 and 1,962.48

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Solution

The fourth proportional to 3,606.32, 5,409.42 and 1,962.48 is: 2,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.32 : 5,409.42 = 1,962.48 : x
  2. Step 2: Convert to fraction form
    3,606.32/5,409.42 = 1,962.48/x
  3. Step 3: Cross multiply
    3,606.32x = 5,409.42 × 1,962.48
  4. Step 4: Simplify right side
    3,606.32x = 10,615,878.56
  5. Step 5: Solve for x
    x = 10,615,878.56/3,606.32
  6. Step 6: Final answer
    x = 2,943.69

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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.