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Finding the Fourth Proportional to 3,214.16, 4,824.48 and 2,170.88

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Solution

The fourth proportional to 3,214.16, 4,824.48 and 2,170.88 is: 3,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.16 : 4,824.48 = 2,170.88 : x
  2. Step 2: Convert to fraction form
    3,214.16/4,824.48 = 2,170.88/x
  3. Step 3: Cross multiply
    3,214.16x = 4,824.48 × 2,170.88
  4. Step 4: Simplify right side
    3,214.16x = 10,473,367.14
  5. Step 5: Solve for x
    x = 10,473,367.14/3,214.16
  6. Step 6: Final answer
    x = 3,258.51

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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.