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Finding the Fourth Proportional to 4,268.48, 6,400.44 and 1,958

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Solution

The fourth proportional to 4,268.48, 6,400.44 and 1,958 is: 2,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.48 : 6,400.44 = 1,958 : x
  2. Step 2: Convert to fraction form
    4,268.48/6,400.44 = 1,958/x
  3. Step 3: Cross multiply
    4,268.48x = 6,400.44 × 1,958
  4. Step 4: Simplify right side
    4,268.48x = 12,532,061.52
  5. Step 5: Solve for x
    x = 12,532,061.52/4,268.48
  6. Step 6: Final answer
    x = 2,935.95

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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.