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Finding the Fourth Proportional to 6,445.52, 8,896.02 and 3,792.80

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Solution

The fourth proportional to 6,445.52, 8,896.02 and 3,792.80 is: 5,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.52 : 8,896.02 = 3,792.80 : x
  2. Step 2: Convert to fraction form
    6,445.52/8,896.02 = 3,792.80/x
  3. Step 3: Cross multiply
    6,445.52x = 8,896.02 × 3,792.80
  4. Step 4: Simplify right side
    6,445.52x = 33,740,824.66
  5. Step 5: Solve for x
    x = 33,740,824.66/6,445.52
  6. Step 6: Final answer
    x = 5,234.77

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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.