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Finding the Fourth Proportional to 5,431.52, 7,494.51 and 3,193.49

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Solution

The fourth proportional to 5,431.52, 7,494.51 and 3,193.49 is: 4,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.52 : 7,494.51 = 3,193.49 : x
  2. Step 2: Convert to fraction form
    5,431.52/7,494.51 = 3,193.49/x
  3. Step 3: Cross multiply
    5,431.52x = 7,494.51 × 3,193.49
  4. Step 4: Simplify right side
    5,431.52x = 23,933,642.74
  5. Step 5: Solve for x
    x = 23,933,642.74/5,431.52
  6. Step 6: Final answer
    x = 4,406.44

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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.