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Finding the Fourth Proportional to 4,200.64, 6,295 and 3,096.32

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Solution

The fourth proportional to 4,200.64, 6,295 and 3,096.32 is: 4,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.64 : 6,295 = 3,096.32 : x
  2. Step 2: Convert to fraction form
    4,200.64/6,295 = 3,096.32/x
  3. Step 3: Cross multiply
    4,200.64x = 6,295 × 3,096.32
  4. Step 4: Simplify right side
    4,200.64x = 19,491,334.40
  5. Step 5: Solve for x
    x = 19,491,334.40/4,200.64
  6. Step 6: Final answer
    x = 4,640.09

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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.