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Finding the Fourth Proportional to 3,571.40, 5,357.10 and 938.90

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Solution

The fourth proportional to 3,571.40, 5,357.10 and 938.90 is: 1,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.40 : 5,357.10 = 938.90 : x
  2. Step 2: Convert to fraction form
    3,571.40/5,357.10 = 938.90/x
  3. Step 3: Cross multiply
    3,571.40x = 5,357.10 × 938.90
  4. Step 4: Simplify right side
    3,571.40x = 5,029,781.19
  5. Step 5: Solve for x
    x = 5,029,781.19/3,571.40
  6. Step 6: Final answer
    x = 1,408.35

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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.