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Finding the Fourth Proportional to 4,238.74, 6,359.07 and 1,642.42

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Solution

The fourth proportional to 4,238.74, 6,359.07 and 1,642.42 is: 2,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.74 : 6,359.07 = 1,642.42 : x
  2. Step 2: Convert to fraction form
    4,238.74/6,359.07 = 1,642.42/x
  3. Step 3: Cross multiply
    4,238.74x = 6,359.07 × 1,642.42
  4. Step 4: Simplify right side
    4,238.74x = 10,444,263.75
  5. Step 5: Solve for x
    x = 10,444,263.75/4,238.74
  6. Step 6: Final answer
    x = 2,464.00

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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.