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Finding the Fourth Proportional to 5,405.21, 7,461.03 and 3,167.79

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Solution

The fourth proportional to 5,405.21, 7,461.03 and 3,167.79 is: 4,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.21 : 7,461.03 = 3,167.79 : x
  2. Step 2: Convert to fraction form
    5,405.21/7,461.03 = 3,167.79/x
  3. Step 3: Cross multiply
    5,405.21x = 7,461.03 × 3,167.79
  4. Step 4: Simplify right side
    5,405.21x = 23,634,976.22
  5. Step 5: Solve for x
    x = 23,634,976.22/5,405.21
  6. Step 6: Final answer
    x = 4,372.63

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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.