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Finding the Fourth Proportional to 5,138.28, 7,700.04 and 2,538.18

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Solution

The fourth proportional to 5,138.28, 7,700.04 and 2,538.18 is: 3,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.28 : 7,700.04 = 2,538.18 : x
  2. Step 2: Convert to fraction form
    5,138.28/7,700.04 = 2,538.18/x
  3. Step 3: Cross multiply
    5,138.28x = 7,700.04 × 2,538.18
  4. Step 4: Simplify right side
    5,138.28x = 19,544,087.53
  5. Step 5: Solve for x
    x = 19,544,087.53/5,138.28
  6. Step 6: Final answer
    x = 3,803.62

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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.