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Finding the Fourth Proportional to 5,429.84, 7,493.26 and 3,191.76

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Solution

The fourth proportional to 5,429.84, 7,493.26 and 3,191.76 is: 4,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.84 : 7,493.26 = 3,191.76 : x
  2. Step 2: Convert to fraction form
    5,429.84/7,493.26 = 3,191.76/x
  3. Step 3: Cross multiply
    5,429.84x = 7,493.26 × 3,191.76
  4. Step 4: Simplify right side
    5,429.84x = 23,916,687.54
  5. Step 5: Solve for x
    x = 23,916,687.54/5,429.84
  6. Step 6: Final answer
    x = 4,404.68

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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.