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Finding the Fourth Proportional to 4,633.40, 6,951.02 and 1,711.73

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Solution

The fourth proportional to 4,633.40, 6,951.02 and 1,711.73 is: 2,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.40 : 6,951.02 = 1,711.73 : x
  2. Step 2: Convert to fraction form
    4,633.40/6,951.02 = 1,711.73/x
  3. Step 3: Cross multiply
    4,633.40x = 6,951.02 × 1,711.73
  4. Step 4: Simplify right side
    4,633.40x = 11,898,278.28
  5. Step 5: Solve for x
    x = 11,898,278.28/4,633.40
  6. Step 6: Final answer
    x = 2,567.94

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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.