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Finding the Fourth Proportional to 5,367.25, 7,406.81 and 3,009.34

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Solution

The fourth proportional to 5,367.25, 7,406.81 and 3,009.34 is: 4,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.25 : 7,406.81 = 3,009.34 : x
  2. Step 2: Convert to fraction form
    5,367.25/7,406.81 = 3,009.34/x
  3. Step 3: Cross multiply
    5,367.25x = 7,406.81 × 3,009.34
  4. Step 4: Simplify right side
    5,367.25x = 22,289,609.61
  5. Step 5: Solve for x
    x = 22,289,609.61/5,367.25
  6. Step 6: Final answer
    x = 4,152.89

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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.