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Finding the Fourth Proportional to 5,435.31, 7,497.98 and 3,195.76

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Solution

The fourth proportional to 5,435.31, 7,497.98 and 3,195.76 is: 4,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.31 : 7,497.98 = 3,195.76 : x
  2. Step 2: Convert to fraction form
    5,435.31/7,497.98 = 3,195.76/x
  3. Step 3: Cross multiply
    5,435.31x = 7,497.98 × 3,195.76
  4. Step 4: Simplify right side
    5,435.31x = 23,961,744.56
  5. Step 5: Solve for x
    x = 23,961,744.56/5,435.31
  6. Step 6: Final answer
    x = 4,408.53

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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.