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Finding the Fourth Proportional to 3,654.30, 5,482.05 and 2,011.62

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Solution

The fourth proportional to 3,654.30, 5,482.05 and 2,011.62 is: 3,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.30 : 5,482.05 = 2,011.62 : x
  2. Step 2: Convert to fraction form
    3,654.30/5,482.05 = 2,011.62/x
  3. Step 3: Cross multiply
    3,654.30x = 5,482.05 × 2,011.62
  4. Step 4: Simplify right side
    3,654.30x = 11,027,801.42
  5. Step 5: Solve for x
    x = 11,027,801.42/3,654.30
  6. Step 6: Final answer
    x = 3,017.76

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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.