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Finding the Fourth Proportional to 6,395.44, 8,828.28 and 3,880.24

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Solution

The fourth proportional to 6,395.44, 8,828.28 and 3,880.24 is: 5,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.44 : 8,828.28 = 3,880.24 : x
  2. Step 2: Convert to fraction form
    6,395.44/8,828.28 = 3,880.24/x
  3. Step 3: Cross multiply
    6,395.44x = 8,828.28 × 3,880.24
  4. Step 4: Simplify right side
    6,395.44x = 34,255,845.19
  5. Step 5: Solve for x
    x = 34,255,845.19/6,395.44
  6. Step 6: Final answer
    x = 5,356.29

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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.