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Finding the Fourth Proportional to 3,462.75, 5,194.58 and 1,271.50

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Solution

The fourth proportional to 3,462.75, 5,194.58 and 1,271.50 is: 1,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.75 : 5,194.58 = 1,271.50 : x
  2. Step 2: Convert to fraction form
    3,462.75/5,194.58 = 1,271.50/x
  3. Step 3: Cross multiply
    3,462.75x = 5,194.58 × 1,271.50
  4. Step 4: Simplify right side
    3,462.75x = 6,604,889.13
  5. Step 5: Solve for x
    x = 6,604,889.13/3,462.75
  6. Step 6: Final answer
    x = 1,907.41

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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.