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Finding the Fourth Proportional to 3,935.50, 5,430.64 and 2,167

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Solution

The fourth proportional to 3,935.50, 5,430.64 and 2,167 is: 2,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.50 : 5,430.64 = 2,167 : x
  2. Step 2: Convert to fraction form
    3,935.50/5,430.64 = 2,167/x
  3. Step 3: Cross multiply
    3,935.50x = 5,430.64 × 2,167
  4. Step 4: Simplify right side
    3,935.50x = 11,768,196.88
  5. Step 5: Solve for x
    x = 11,768,196.88/3,935.50
  6. Step 6: Final answer
    x = 2,990.27

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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.