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Finding the Fourth Proportional to 3,654.46, 5,482.50 and 1,057.42

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Solution

The fourth proportional to 3,654.46, 5,482.50 and 1,057.42 is: 1,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.46 : 5,482.50 = 1,057.42 : x
  2. Step 2: Convert to fraction form
    3,654.46/5,482.50 = 1,057.42/x
  3. Step 3: Cross multiply
    3,654.46x = 5,482.50 × 1,057.42
  4. Step 4: Simplify right side
    3,654.46x = 5,797,305.15
  5. Step 5: Solve for x
    x = 5,797,305.15/3,654.46
  6. Step 6: Final answer
    x = 1,586.36

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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.