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Finding the Fourth Proportional to 3,884.45, 5,358.44 and 2,312.24

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Solution

The fourth proportional to 3,884.45, 5,358.44 and 2,312.24 is: 3,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.45 : 5,358.44 = 2,312.24 : x
  2. Step 2: Convert to fraction form
    3,884.45/5,358.44 = 2,312.24/x
  3. Step 3: Cross multiply
    3,884.45x = 5,358.44 × 2,312.24
  4. Step 4: Simplify right side
    3,884.45x = 12,389,987.74
  5. Step 5: Solve for x
    x = 12,389,987.74/3,884.45
  6. Step 6: Final answer
    x = 3,189.64

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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.