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Finding the Fourth Proportional to 3,649.12, 5,473.68 and 1,052.26

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Solution

The fourth proportional to 3,649.12, 5,473.68 and 1,052.26 is: 1,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.12 : 5,473.68 = 1,052.26 : x
  2. Step 2: Convert to fraction form
    3,649.12/5,473.68 = 1,052.26/x
  3. Step 3: Cross multiply
    3,649.12x = 5,473.68 × 1,052.26
  4. Step 4: Simplify right side
    3,649.12x = 5,759,734.52
  5. Step 5: Solve for x
    x = 5,759,734.52/3,649.12
  6. Step 6: Final answer
    x = 1,578.39

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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.