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Finding the Fourth Proportional to 4,628.26, 6,934.31 and 3,853.25

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Solution

The fourth proportional to 4,628.26, 6,934.31 and 3,853.25 is: 5,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.26 : 6,934.31 = 3,853.25 : x
  2. Step 2: Convert to fraction form
    4,628.26/6,934.31 = 3,853.25/x
  3. Step 3: Cross multiply
    4,628.26x = 6,934.31 × 3,853.25
  4. Step 4: Simplify right side
    4,628.26x = 26,719,597.02
  5. Step 5: Solve for x
    x = 26,719,597.02/4,628.26
  6. Step 6: Final answer
    x = 5,773.14

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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.