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Finding the Fourth Proportional to 3,405.26, 5,107.08 and 1,649.18

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Solution

The fourth proportional to 3,405.26, 5,107.08 and 1,649.18 is: 2,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.26 : 5,107.08 = 1,649.18 : x
  2. Step 2: Convert to fraction form
    3,405.26/5,107.08 = 1,649.18/x
  3. Step 3: Cross multiply
    3,405.26x = 5,107.08 × 1,649.18
  4. Step 4: Simplify right side
    3,405.26x = 8,422,494.19
  5. Step 5: Solve for x
    x = 8,422,494.19/3,405.26
  6. Step 6: Final answer
    x = 2,473.38

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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.