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Finding the Fourth Proportional to 3,665.60, 5,494.80 and 3,276.80

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Solution

The fourth proportional to 3,665.60, 5,494.80 and 3,276.80 is: 4,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.60 : 5,494.80 = 3,276.80 : x
  2. Step 2: Convert to fraction form
    3,665.60/5,494.80 = 3,276.80/x
  3. Step 3: Cross multiply
    3,665.60x = 5,494.80 × 3,276.80
  4. Step 4: Simplify right side
    3,665.60x = 18,005,360.64
  5. Step 5: Solve for x
    x = 18,005,360.64/3,665.60
  6. Step 6: Final answer
    x = 4,911.98

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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.