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Finding the Fourth Proportional to 5,680.56, 7,830.72 and 3,996.48

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Solution

The fourth proportional to 5,680.56, 7,830.72 and 3,996.48 is: 5,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.56 : 7,830.72 = 3,996.48 : x
  2. Step 2: Convert to fraction form
    5,680.56/7,830.72 = 3,996.48/x
  3. Step 3: Cross multiply
    5,680.56x = 7,830.72 × 3,996.48
  4. Step 4: Simplify right side
    5,680.56x = 31,295,315.87
  5. Step 5: Solve for x
    x = 31,295,315.87/5,680.56
  6. Step 6: Final answer
    x = 5,509.20

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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.