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Finding the Fourth Proportional to 5,431.37, 7,495.21 and 3,193.50

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Solution

The fourth proportional to 5,431.37, 7,495.21 and 3,193.50 is: 4,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.37 : 7,495.21 = 3,193.50 : x
  2. Step 2: Convert to fraction form
    5,431.37/7,495.21 = 3,193.50/x
  3. Step 3: Cross multiply
    5,431.37x = 7,495.21 × 3,193.50
  4. Step 4: Simplify right side
    5,431.37x = 23,935,953.14
  5. Step 5: Solve for x
    x = 23,935,953.14/5,431.37
  6. Step 6: Final answer
    x = 4,406.98

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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.