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Finding the Fourth Proportional to 6,435.23, 8,880.78 and 3,782.78

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Solution

The fourth proportional to 6,435.23, 8,880.78 and 3,782.78 is: 5,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.23 : 8,880.78 = 3,782.78 : x
  2. Step 2: Convert to fraction form
    6,435.23/8,880.78 = 3,782.78/x
  3. Step 3: Cross multiply
    6,435.23x = 8,880.78 × 3,782.78
  4. Step 4: Simplify right side
    6,435.23x = 33,594,036.97
  5. Step 5: Solve for x
    x = 33,594,036.97/6,435.23
  6. Step 6: Final answer
    x = 5,220.33

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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.