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Finding the Fourth Proportional to 3,654.38, 5,482.05 and 1,923.10

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Solution

The fourth proportional to 3,654.38, 5,482.05 and 1,923.10 is: 2,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.38 : 5,482.05 = 1,923.10 : x
  2. Step 2: Convert to fraction form
    3,654.38/5,482.05 = 1,923.10/x
  3. Step 3: Cross multiply
    3,654.38x = 5,482.05 × 1,923.10
  4. Step 4: Simplify right side
    3,654.38x = 10,542,530.36
  5. Step 5: Solve for x
    x = 10,542,530.36/3,654.38
  6. Step 6: Final answer
    x = 2,884.90

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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.