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Finding the Fourth Proportional to 5,138.28, 7,724.60 and 4,055.68

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Solution

The fourth proportional to 5,138.28, 7,724.60 and 4,055.68 is: 6,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.28 : 7,724.60 = 4,055.68 : x
  2. Step 2: Convert to fraction form
    5,138.28/7,724.60 = 4,055.68/x
  3. Step 3: Cross multiply
    5,138.28x = 7,724.60 × 4,055.68
  4. Step 4: Simplify right side
    5,138.28x = 31,328,505.73
  5. Step 5: Solve for x
    x = 31,328,505.73/5,138.28
  6. Step 6: Final answer
    x = 6,097.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.