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Finding the Fourth Proportional to 3,473.72, 5,212.20 and 1,720.88

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Solution

The fourth proportional to 3,473.72, 5,212.20 and 1,720.88 is: 2,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.72 : 5,212.20 = 1,720.88 : x
  2. Step 2: Convert to fraction form
    3,473.72/5,212.20 = 1,720.88/x
  3. Step 3: Cross multiply
    3,473.72x = 5,212.20 × 1,720.88
  4. Step 4: Simplify right side
    3,473.72x = 8,969,570.74
  5. Step 5: Solve for x
    x = 8,969,570.74/3,473.72
  6. Step 6: Final answer
    x = 2,582.12

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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.