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Finding the Fourth Proportional to 3,247.04, 4,871.38 and 938.54

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Solution

The fourth proportional to 3,247.04, 4,871.38 and 938.54 is: 1,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.04 : 4,871.38 = 938.54 : x
  2. Step 2: Convert to fraction form
    3,247.04/4,871.38 = 938.54/x
  3. Step 3: Cross multiply
    3,247.04x = 4,871.38 × 938.54
  4. Step 4: Simplify right side
    3,247.04x = 4,571,984.99
  5. Step 5: Solve for x
    x = 4,571,984.99/3,247.04
  6. Step 6: Final answer
    x = 1,408.05

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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.