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Finding the Fourth Proportional to 5,412.81, 7,464.49 and 3,288.69

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Solution

The fourth proportional to 5,412.81, 7,464.49 and 3,288.69 is: 4,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.81 : 7,464.49 = 3,288.69 : x
  2. Step 2: Convert to fraction form
    5,412.81/7,464.49 = 3,288.69/x
  3. Step 3: Cross multiply
    5,412.81x = 7,464.49 × 3,288.69
  4. Step 4: Simplify right side
    5,412.81x = 24,548,393.62
  5. Step 5: Solve for x
    x = 24,548,393.62/5,412.81
  6. Step 6: Final answer
    x = 4,535.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.