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Finding the Fourth Proportional to 3,238.96, 4,437.35 and 3,122.32

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Solution

The fourth proportional to 3,238.96, 4,437.35 and 3,122.32 is: 4,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.96 : 4,437.35 = 3,122.32 : x
  2. Step 2: Convert to fraction form
    3,238.96/4,437.35 = 3,122.32/x
  3. Step 3: Cross multiply
    3,238.96x = 4,437.35 × 3,122.32
  4. Step 4: Simplify right side
    3,238.96x = 13,854,826.65
  5. Step 5: Solve for x
    x = 13,854,826.65/3,238.96
  6. Step 6: Final answer
    x = 4,277.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.