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Finding the Fourth Proportional to 3,238.74, 4,858.86 and 1,596.06

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Solution

The fourth proportional to 3,238.74, 4,858.86 and 1,596.06 is: 2,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.74 : 4,858.86 = 1,596.06 : x
  2. Step 2: Convert to fraction form
    3,238.74/4,858.86 = 1,596.06/x
  3. Step 3: Cross multiply
    3,238.74x = 4,858.86 × 1,596.06
  4. Step 4: Simplify right side
    3,238.74x = 7,755,032.09
  5. Step 5: Solve for x
    x = 7,755,032.09/3,238.74
  6. Step 6: Final answer
    x = 2,394.46

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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.