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Finding the Fourth Proportional to 3,461.40, 4,776.17 and 3,286.31

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Solution

The fourth proportional to 3,461.40, 4,776.17 and 3,286.31 is: 4,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.40 : 4,776.17 = 3,286.31 : x
  2. Step 2: Convert to fraction form
    3,461.40/4,776.17 = 3,286.31/x
  3. Step 3: Cross multiply
    3,461.40x = 4,776.17 × 3,286.31
  4. Step 4: Simplify right side
    3,461.40x = 15,695,934.92
  5. Step 5: Solve for x
    x = 15,695,934.92/3,461.40
  6. Step 6: Final answer
    x = 4,534.56

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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.