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Finding the Fourth Proportional to 3,712.06, 5,568.27 and 938.75

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Solution

The fourth proportional to 3,712.06, 5,568.27 and 938.75 is: 1,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.06 : 5,568.27 = 938.75 : x
  2. Step 2: Convert to fraction form
    3,712.06/5,568.27 = 938.75/x
  3. Step 3: Cross multiply
    3,712.06x = 5,568.27 × 938.75
  4. Step 4: Simplify right side
    3,712.06x = 5,227,223.94
  5. Step 5: Solve for x
    x = 5,227,223.94/3,712.06
  6. Step 6: Final answer
    x = 1,408.18

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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.