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Finding the Fourth Proportional to 3,494.98, 5,244.27 and 1,548.55

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Solution

The fourth proportional to 3,494.98, 5,244.27 and 1,548.55 is: 2,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.98 : 5,244.27 = 1,548.55 : x
  2. Step 2: Convert to fraction form
    3,494.98/5,244.27 = 1,548.55/x
  3. Step 3: Cross multiply
    3,494.98x = 5,244.27 × 1,548.55
  4. Step 4: Simplify right side
    3,494.98x = 8,121,014.31
  5. Step 5: Solve for x
    x = 8,121,014.31/3,494.98
  6. Step 6: Final answer
    x = 2,323.62

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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.