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Finding the Fourth Proportional to 3,668.68, 5,496.54 and 3,577.96

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Solution

The fourth proportional to 3,668.68, 5,496.54 and 3,577.96 is: 5,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.68 : 5,496.54 = 3,577.96 : x
  2. Step 2: Convert to fraction form
    3,668.68/5,496.54 = 3,577.96/x
  3. Step 3: Cross multiply
    3,668.68x = 5,496.54 × 3,577.96
  4. Step 4: Simplify right side
    3,668.68x = 19,666,400.26
  5. Step 5: Solve for x
    x = 19,666,400.26/3,668.68
  6. Step 6: Final answer
    x = 5,360.62

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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.