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Finding the Fourth Proportional to 3,901.67, 5,851.44 and 1,709.86

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Solution

The fourth proportional to 3,901.67, 5,851.44 and 1,709.86 is: 2,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.67 : 5,851.44 = 1,709.86 : x
  2. Step 2: Convert to fraction form
    3,901.67/5,851.44 = 1,709.86/x
  3. Step 3: Cross multiply
    3,901.67x = 5,851.44 × 1,709.86
  4. Step 4: Simplify right side
    3,901.67x = 10,005,139.54
  5. Step 5: Solve for x
    x = 10,005,139.54/3,901.67
  6. Step 6: Final answer
    x = 2,564.32

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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.