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Finding the Fourth Proportional to 3,654.30, 5,480.10 and 1,189.20

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Solution

The fourth proportional to 3,654.30, 5,480.10 and 1,189.20 is: 1,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.30 : 5,480.10 = 1,189.20 : x
  2. Step 2: Convert to fraction form
    3,654.30/5,480.10 = 1,189.20/x
  3. Step 3: Cross multiply
    3,654.30x = 5,480.10 × 1,189.20
  4. Step 4: Simplify right side
    3,654.30x = 6,516,934.92
  5. Step 5: Solve for x
    x = 6,516,934.92/3,654.30
  6. Step 6: Final answer
    x = 1,783.36

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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.