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Finding the Fourth Proportional to 6,430.44, 8,872.89 and 3,778.40

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Solution

The fourth proportional to 6,430.44, 8,872.89 and 3,778.40 is: 5,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.44 : 8,872.89 = 3,778.40 : x
  2. Step 2: Convert to fraction form
    6,430.44/8,872.89 = 3,778.40/x
  3. Step 3: Cross multiply
    6,430.44x = 8,872.89 × 3,778.40
  4. Step 4: Simplify right side
    6,430.44x = 33,525,283.21
  5. Step 5: Solve for x
    x = 33,525,283.21/6,430.44
  6. Step 6: Final answer
    x = 5,213.53

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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.