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Finding the Fourth Proportional to 3,662.70, 5,496.90 and 2,559.90

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Solution

The fourth proportional to 3,662.70, 5,496.90 and 2,559.90 is: 3,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.70 : 5,496.90 = 2,559.90 : x
  2. Step 2: Convert to fraction form
    3,662.70/5,496.90 = 2,559.90/x
  3. Step 3: Cross multiply
    3,662.70x = 5,496.90 × 2,559.90
  4. Step 4: Simplify right side
    3,662.70x = 14,071,514.31
  5. Step 5: Solve for x
    x = 14,071,514.31/3,662.70
  6. Step 6: Final answer
    x = 3,841.84

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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.