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Finding the Fourth Proportional to 3,471.27, 5,206.09 and 1,005.42

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Solution

The fourth proportional to 3,471.27, 5,206.09 and 1,005.42 is: 1,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.27 : 5,206.09 = 1,005.42 : x
  2. Step 2: Convert to fraction form
    3,471.27/5,206.09 = 1,005.42/x
  3. Step 3: Cross multiply
    3,471.27x = 5,206.09 × 1,005.42
  4. Step 4: Simplify right side
    3,471.27x = 5,234,307.01
  5. Step 5: Solve for x
    x = 5,234,307.01/3,471.27
  6. Step 6: Final answer
    x = 1,507.89

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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.