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Finding the Fourth Proportional to 4,634.69, 6,951.87 and 1,347.89

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Solution

The fourth proportional to 4,634.69, 6,951.87 and 1,347.89 is: 2,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.69 : 6,951.87 = 1,347.89 : x
  2. Step 2: Convert to fraction form
    4,634.69/6,951.87 = 1,347.89/x
  3. Step 3: Cross multiply
    4,634.69x = 6,951.87 × 1,347.89
  4. Step 4: Simplify right side
    4,634.69x = 9,370,321.29
  5. Step 5: Solve for x
    x = 9,370,321.29/4,634.69
  6. Step 6: Final answer
    x = 2,021.78

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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.