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Finding the Fourth Proportional to 3,268.56, 4,903.52 and 1,077.42

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Solution

The fourth proportional to 3,268.56, 4,903.52 and 1,077.42 is: 1,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.56 : 4,903.52 = 1,077.42 : x
  2. Step 2: Convert to fraction form
    3,268.56/4,903.52 = 1,077.42/x
  3. Step 3: Cross multiply
    3,268.56x = 4,903.52 × 1,077.42
  4. Step 4: Simplify right side
    3,268.56x = 5,283,145.13
  5. Step 5: Solve for x
    x = 5,283,145.13/3,268.56
  6. Step 6: Final answer
    x = 1,616.35

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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.