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Finding the Fourth Proportional to 3,579.68, 5,371.68 and 1,271

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Solution

The fourth proportional to 3,579.68, 5,371.68 and 1,271 is: 1,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.68 : 5,371.68 = 1,271 : x
  2. Step 2: Convert to fraction form
    3,579.68/5,371.68 = 1,271/x
  3. Step 3: Cross multiply
    3,579.68x = 5,371.68 × 1,271
  4. Step 4: Simplify right side
    3,579.68x = 6,827,405.28
  5. Step 5: Solve for x
    x = 6,827,405.28/3,579.68
  6. Step 6: Final answer
    x = 1,907.27

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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.