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Finding the Fourth Proportional to 3,654.99, 5,483.75 and 1,189.80

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Solution

The fourth proportional to 3,654.99, 5,483.75 and 1,189.80 is: 1,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.99 : 5,483.75 = 1,189.80 : x
  2. Step 2: Convert to fraction form
    3,654.99/5,483.75 = 1,189.80/x
  3. Step 3: Cross multiply
    3,654.99x = 5,483.75 × 1,189.80
  4. Step 4: Simplify right side
    3,654.99x = 6,524,559.80
  5. Step 5: Solve for x
    x = 6,524,559.80/3,654.99
  6. Step 6: Final answer
    x = 1,785.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.