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Finding the Fourth Proportional to 4,309.38, 6,464.07 and 1,189.28

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Solution

The fourth proportional to 4,309.38, 6,464.07 and 1,189.28 is: 1,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.38 : 6,464.07 = 1,189.28 : x
  2. Step 2: Convert to fraction form
    4,309.38/6,464.07 = 1,189.28/x
  3. Step 3: Cross multiply
    4,309.38x = 6,464.07 × 1,189.28
  4. Step 4: Simplify right side
    4,309.38x = 7,687,605.33
  5. Step 5: Solve for x
    x = 7,687,605.33/4,309.38
  6. Step 6: Final answer
    x = 1,783.92

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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.