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Finding the Fourth Proportional to 4,268.25, 5,890.19 and 2,405.25

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Solution

The fourth proportional to 4,268.25, 5,890.19 and 2,405.25 is: 3,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.25 : 5,890.19 = 2,405.25 : x
  2. Step 2: Convert to fraction form
    4,268.25/5,890.19 = 2,405.25/x
  3. Step 3: Cross multiply
    4,268.25x = 5,890.19 × 2,405.25
  4. Step 4: Simplify right side
    4,268.25x = 14,167,367.47
  5. Step 5: Solve for x
    x = 14,167,367.47/4,268.25
  6. Step 6: Final answer
    x = 3,319.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.