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Finding the Fourth Proportional to 4,659.26, 6,986.42 and 1,371.87

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Solution

The fourth proportional to 4,659.26, 6,986.42 and 1,371.87 is: 2,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.26 : 6,986.42 = 1,371.87 : x
  2. Step 2: Convert to fraction form
    4,659.26/6,986.42 = 1,371.87/x
  3. Step 3: Cross multiply
    4,659.26x = 6,986.42 × 1,371.87
  4. Step 4: Simplify right side
    4,659.26x = 9,584,458.29
  5. Step 5: Solve for x
    x = 9,584,458.29/4,659.26
  6. Step 6: Final answer
    x = 2,057.08

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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.