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Finding the Fourth Proportional to 3,470.73, 5,206.38 and 1,005.60

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Solution

The fourth proportional to 3,470.73, 5,206.38 and 1,005.60 is: 1,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.73 : 5,206.38 = 1,005.60 : x
  2. Step 2: Convert to fraction form
    3,470.73/5,206.38 = 1,005.60/x
  3. Step 3: Cross multiply
    3,470.73x = 5,206.38 × 1,005.60
  4. Step 4: Simplify right side
    3,470.73x = 5,235,535.73
  5. Step 5: Solve for x
    x = 5,235,535.73/3,470.73
  6. Step 6: Final answer
    x = 1,508.48

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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.