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Finding the Fourth Proportional to 5,367.69, 7,407.32 and 3,009.78

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Solution

The fourth proportional to 5,367.69, 7,407.32 and 3,009.78 is: 4,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.69 : 7,407.32 = 3,009.78 : x
  2. Step 2: Convert to fraction form
    5,367.69/7,407.32 = 3,009.78/x
  3. Step 3: Cross multiply
    5,367.69x = 7,407.32 × 3,009.78
  4. Step 4: Simplify right side
    5,367.69x = 22,294,388.54
  5. Step 5: Solve for x
    x = 22,294,388.54/5,367.69
  6. Step 6: Final answer
    x = 4,153.44

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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.