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Finding the Fourth Proportional to 4,125, 6,171.96 and 2,894.84

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Solution

The fourth proportional to 4,125, 6,171.96 and 2,894.84 is: 4,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125 : 6,171.96 = 2,894.84 : x
  2. Step 2: Convert to fraction form
    4,125/6,171.96 = 2,894.84/x
  3. Step 3: Cross multiply
    4,125x = 6,171.96 × 2,894.84
  4. Step 4: Simplify right side
    4,125x = 17,866,836.69
  5. Step 5: Solve for x
    x = 17,866,836.69/4,125
  6. Step 6: Final answer
    x = 4,331.35

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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.