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Finding the Fourth Proportional to 5,138.84, 7,708.23 and 1,243.25

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Solution

The fourth proportional to 5,138.84, 7,708.23 and 1,243.25 is: 1,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.84 : 7,708.23 = 1,243.25 : x
  2. Step 2: Convert to fraction form
    5,138.84/7,708.23 = 1,243.25/x
  3. Step 3: Cross multiply
    5,138.84x = 7,708.23 × 1,243.25
  4. Step 4: Simplify right side
    5,138.84x = 9,583,247.31
  5. Step 5: Solve for x
    x = 9,583,247.31/5,138.84
  6. Step 6: Final answer
    x = 1,864.86

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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.