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Finding the Fourth Proportional to 3,476.94, 5,216.30 and 1,011.76

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Solution

The fourth proportional to 3,476.94, 5,216.30 and 1,011.76 is: 1,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.94 : 5,216.30 = 1,011.76 : x
  2. Step 2: Convert to fraction form
    3,476.94/5,216.30 = 1,011.76/x
  3. Step 3: Cross multiply
    3,476.94x = 5,216.30 × 1,011.76
  4. Step 4: Simplify right side
    3,476.94x = 5,277,629.38
  5. Step 5: Solve for x
    x = 5,277,629.38/3,476.94
  6. Step 6: Final answer
    x = 1,517.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.