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Finding the Fourth Proportional to 3,494.21, 4,820.54 and 2,313.23

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Solution

The fourth proportional to 3,494.21, 4,820.54 and 2,313.23 is: 3,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.21 : 4,820.54 = 2,313.23 : x
  2. Step 2: Convert to fraction form
    3,494.21/4,820.54 = 2,313.23/x
  3. Step 3: Cross multiply
    3,494.21x = 4,820.54 × 2,313.23
  4. Step 4: Simplify right side
    3,494.21x = 11,150,982.08
  5. Step 5: Solve for x
    x = 11,150,982.08/3,494.21
  6. Step 6: Final answer
    x = 3,191.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.