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Finding the Fourth Proportional to 5,238.96, 7,221.06 and 4,493.76

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Solution

The fourth proportional to 5,238.96, 7,221.06 and 4,493.76 is: 6,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.96 : 7,221.06 = 4,493.76 : x
  2. Step 2: Convert to fraction form
    5,238.96/7,221.06 = 4,493.76/x
  3. Step 3: Cross multiply
    5,238.96x = 7,221.06 × 4,493.76
  4. Step 4: Simplify right side
    5,238.96x = 32,449,710.59
  5. Step 5: Solve for x
    x = 32,449,710.59/5,238.96
  6. Step 6: Final answer
    x = 6,193.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.