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Finding the Fourth Proportional to 5,412.49, 7,469.08 and 3,054.85

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Solution

The fourth proportional to 5,412.49, 7,469.08 and 3,054.85 is: 4,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.49 : 7,469.08 = 3,054.85 : x
  2. Step 2: Convert to fraction form
    5,412.49/7,469.08 = 3,054.85/x
  3. Step 3: Cross multiply
    5,412.49x = 7,469.08 × 3,054.85
  4. Step 4: Simplify right side
    5,412.49x = 22,816,919.04
  5. Step 5: Solve for x
    x = 22,816,919.04/5,412.49
  6. Step 6: Final answer
    x = 4,215.60

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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.