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Finding the Fourth Proportional to 5,138.19, 7,707.22 and 1,242.56

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Solution

The fourth proportional to 5,138.19, 7,707.22 and 1,242.56 is: 1,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.19 : 7,707.22 = 1,242.56 : x
  2. Step 2: Convert to fraction form
    5,138.19/7,707.22 = 1,242.56/x
  3. Step 3: Cross multiply
    5,138.19x = 7,707.22 × 1,242.56
  4. Step 4: Simplify right side
    5,138.19x = 9,576,699.44
  5. Step 5: Solve for x
    x = 9,576,699.44/5,138.19
  6. Step 6: Final answer
    x = 1,863.83

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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.