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Finding the Fourth Proportional to 5,096.32, 7,635.54 and 3,627.82

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Solution

The fourth proportional to 5,096.32, 7,635.54 and 3,627.82 is: 5,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.32 : 7,635.54 = 3,627.82 : x
  2. Step 2: Convert to fraction form
    5,096.32/7,635.54 = 3,627.82/x
  3. Step 3: Cross multiply
    5,096.32x = 7,635.54 × 3,627.82
  4. Step 4: Simplify right side
    5,096.32x = 27,700,364.72
  5. Step 5: Solve for x
    x = 27,700,364.72/5,096.32
  6. Step 6: Final answer
    x = 5,435.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.