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Finding the Fourth Proportional to 3,494.67, 5,240.34 and 1,271.93

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Solution

The fourth proportional to 3,494.67, 5,240.34 and 1,271.93 is: 1,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.67 : 5,240.34 = 1,271.93 : x
  2. Step 2: Convert to fraction form
    3,494.67/5,240.34 = 1,271.93/x
  3. Step 3: Cross multiply
    3,494.67x = 5,240.34 × 1,271.93
  4. Step 4: Simplify right side
    3,494.67x = 6,665,319.45
  5. Step 5: Solve for x
    x = 6,665,319.45/3,494.67
  6. Step 6: Final answer
    x = 1,907.28

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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.