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Finding the Fourth Proportional to 3,470.36, 5,206.05 and 1,004.85

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Solution

The fourth proportional to 3,470.36, 5,206.05 and 1,004.85 is: 1,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.36 : 5,206.05 = 1,004.85 : x
  2. Step 2: Convert to fraction form
    3,470.36/5,206.05 = 1,004.85/x
  3. Step 3: Cross multiply
    3,470.36x = 5,206.05 × 1,004.85
  4. Step 4: Simplify right side
    3,470.36x = 5,231,299.34
  5. Step 5: Solve for x
    x = 5,231,299.34/3,470.36
  6. Step 6: Final answer
    x = 1,507.42

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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.