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Finding the Fourth Proportional to 3,501.71, 5,245.02 and 1,650.05

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Solution

The fourth proportional to 3,501.71, 5,245.02 and 1,650.05 is: 2,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.71 : 5,245.02 = 1,650.05 : x
  2. Step 2: Convert to fraction form
    3,501.71/5,245.02 = 1,650.05/x
  3. Step 3: Cross multiply
    3,501.71x = 5,245.02 × 1,650.05
  4. Step 4: Simplify right side
    3,501.71x = 8,654,519.03
  5. Step 5: Solve for x
    x = 8,654,519.03/3,501.71
  6. Step 6: Final answer
    x = 2,471.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.