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Finding the Fourth Proportional to 6,268.36, 8,651.46 and 4,033

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Solution

The fourth proportional to 6,268.36, 8,651.46 and 4,033 is: 5,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.36 : 8,651.46 = 4,033 : x
  2. Step 2: Convert to fraction form
    6,268.36/8,651.46 = 4,033/x
  3. Step 3: Cross multiply
    6,268.36x = 8,651.46 × 4,033
  4. Step 4: Simplify right side
    6,268.36x = 34,891,338.18
  5. Step 5: Solve for x
    x = 34,891,338.18/6,268.36
  6. Step 6: Final answer
    x = 5,566.26

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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.