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Finding the Fourth Proportional to 4,268.82, 6,434.09 and 4,030.50

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Solution

The fourth proportional to 4,268.82, 6,434.09 and 4,030.50 is: 6,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.82 : 6,434.09 = 4,030.50 : x
  2. Step 2: Convert to fraction form
    4,268.82/6,434.09 = 4,030.50/x
  3. Step 3: Cross multiply
    4,268.82x = 6,434.09 × 4,030.50
  4. Step 4: Simplify right side
    4,268.82x = 25,932,579.59
  5. Step 5: Solve for x
    x = 25,932,579.59/4,268.82
  6. Step 6: Final answer
    x = 6,074.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.