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Finding the Fourth Proportional to 5,744.88, 7,908.48 and 5,155.20

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Solution

The fourth proportional to 5,744.88, 7,908.48 and 5,155.20 is: 7,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.88 : 7,908.48 = 5,155.20 : x
  2. Step 2: Convert to fraction form
    5,744.88/7,908.48 = 5,155.20/x
  3. Step 3: Cross multiply
    5,744.88x = 7,908.48 × 5,155.20
  4. Step 4: Simplify right side
    5,744.88x = 40,769,796.10
  5. Step 5: Solve for x
    x = 40,769,796.10/5,744.88
  6. Step 6: Final answer
    x = 7,096.72

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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.