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Finding the Fourth Proportional to 3,406.31, 4,713.14 and 2,965.67

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Solution

The fourth proportional to 3,406.31, 4,713.14 and 2,965.67 is: 4,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.31 : 4,713.14 = 2,965.67 : x
  2. Step 2: Convert to fraction form
    3,406.31/4,713.14 = 2,965.67/x
  3. Step 3: Cross multiply
    3,406.31x = 4,713.14 × 2,965.67
  4. Step 4: Simplify right side
    3,406.31x = 13,977,601.75
  5. Step 5: Solve for x
    x = 13,977,601.75/3,406.31
  6. Step 6: Final answer
    x = 4,103.45

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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.