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Finding the Fourth Proportional to 3,654.72, 5,482.49 and 1,189.69

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Solution

The fourth proportional to 3,654.72, 5,482.49 and 1,189.69 is: 1,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.72 : 5,482.49 = 1,189.69 : x
  2. Step 2: Convert to fraction form
    3,654.72/5,482.49 = 1,189.69/x
  3. Step 3: Cross multiply
    3,654.72x = 5,482.49 × 1,189.69
  4. Step 4: Simplify right side
    3,654.72x = 6,522,443.87
  5. Step 5: Solve for x
    x = 6,522,443.87/3,654.72
  6. Step 6: Final answer
    x = 1,784.66

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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.