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Finding the Fourth Proportional to 3,238.68, 4,857.48 and 1,290.36

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Solution

The fourth proportional to 3,238.68, 4,857.48 and 1,290.36 is: 1,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.68 : 4,857.48 = 1,290.36 : x
  2. Step 2: Convert to fraction form
    3,238.68/4,857.48 = 1,290.36/x
  3. Step 3: Cross multiply
    3,238.68x = 4,857.48 × 1,290.36
  4. Step 4: Simplify right side
    3,238.68x = 6,267,897.89
  5. Step 5: Solve for x
    x = 6,267,897.89/3,238.68
  6. Step 6: Final answer
    x = 1,935.32

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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.