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Finding the Fourth Proportional to 3,662.24, 5,494.56 and 1,470.38

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Solution

The fourth proportional to 3,662.24, 5,494.56 and 1,470.38 is: 2,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.24 : 5,494.56 = 1,470.38 : x
  2. Step 2: Convert to fraction form
    3,662.24/5,494.56 = 1,470.38/x
  3. Step 3: Cross multiply
    3,662.24x = 5,494.56 × 1,470.38
  4. Step 4: Simplify right side
    3,662.24x = 8,079,091.13
  5. Step 5: Solve for x
    x = 8,079,091.13/3,662.24
  6. Step 6: Final answer
    x = 2,206.05

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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.