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Finding the Fourth Proportional to 5,367.64, 7,407.36 and 3,009.82

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Solution

The fourth proportional to 5,367.64, 7,407.36 and 3,009.82 is: 4,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.64 : 7,407.36 = 3,009.82 : x
  2. Step 2: Convert to fraction form
    5,367.64/7,407.36 = 3,009.82/x
  3. Step 3: Cross multiply
    5,367.64x = 7,407.36 × 3,009.82
  4. Step 4: Simplify right side
    5,367.64x = 22,294,820.28
  5. Step 5: Solve for x
    x = 22,294,820.28/5,367.64
  6. Step 6: Final answer
    x = 4,153.56

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Why These Related Problems?

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