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Finding the Fourth Proportional to 4,890.69, 6,747.39 and 3,213

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Solution

The fourth proportional to 4,890.69, 6,747.39 and 3,213 is: 4,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.69 : 6,747.39 = 3,213 : x
  2. Step 2: Convert to fraction form
    4,890.69/6,747.39 = 3,213/x
  3. Step 3: Cross multiply
    4,890.69x = 6,747.39 × 3,213
  4. Step 4: Simplify right side
    4,890.69x = 21,679,364.07
  5. Step 5: Solve for x
    x = 21,679,364.07/4,890.69
  6. Step 6: Final answer
    x = 4,432.78

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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.