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Finding the Fourth Proportional to 3,544.32, 5,316.96 and 2,005.44

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Solution

The fourth proportional to 3,544.32, 5,316.96 and 2,005.44 is: 3,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.32 : 5,316.96 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    3,544.32/5,316.96 = 2,005.44/x
  3. Step 3: Cross multiply
    3,544.32x = 5,316.96 × 2,005.44
  4. Step 4: Simplify right side
    3,544.32x = 10,662,844.26
  5. Step 5: Solve for x
    x = 10,662,844.26/3,544.32
  6. Step 6: Final answer
    x = 3,008.43

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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.