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Finding the Fourth Proportional to 5,228.04, 7,209.81 and 4,169.33

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Solution

The fourth proportional to 5,228.04, 7,209.81 and 4,169.33 is: 5,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.04 : 7,209.81 = 4,169.33 : x
  2. Step 2: Convert to fraction form
    5,228.04/7,209.81 = 4,169.33/x
  3. Step 3: Cross multiply
    5,228.04x = 7,209.81 × 4,169.33
  4. Step 4: Simplify right side
    5,228.04x = 30,060,041.08
  5. Step 5: Solve for x
    x = 30,060,041.08/5,228.04
  6. Step 6: Final answer
    x = 5,749.77

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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.