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Finding the Fourth Proportional to 3,667.60, 5,497.80 and 3,278.80

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Solution

The fourth proportional to 3,667.60, 5,497.80 and 3,278.80 is: 4,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.60 : 5,497.80 = 3,278.80 : x
  2. Step 2: Convert to fraction form
    3,667.60/5,497.80 = 3,278.80/x
  3. Step 3: Cross multiply
    3,667.60x = 5,497.80 × 3,278.80
  4. Step 4: Simplify right side
    3,667.60x = 18,026,186.64
  5. Step 5: Solve for x
    x = 18,026,186.64/3,667.60
  6. Step 6: Final answer
    x = 4,914.98

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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.