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Finding the Fourth Proportional to 5,407.31, 7,461.42 and 3,168.67

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Solution

The fourth proportional to 5,407.31, 7,461.42 and 3,168.67 is: 4,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.31 : 7,461.42 = 3,168.67 : x
  2. Step 2: Convert to fraction form
    5,407.31/7,461.42 = 3,168.67/x
  3. Step 3: Cross multiply
    5,407.31x = 7,461.42 × 3,168.67
  4. Step 4: Simplify right side
    5,407.31x = 23,642,796.36
  5. Step 5: Solve for x
    x = 23,642,796.36/5,407.31
  6. Step 6: Final answer
    x = 4,372.38

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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.