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Finding the Fourth Proportional to 4,904.70, 6,767.82 and 2,914.89

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Solution

The fourth proportional to 4,904.70, 6,767.82 and 2,914.89 is: 4,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.70 : 6,767.82 = 2,914.89 : x
  2. Step 2: Convert to fraction form
    4,904.70/6,767.82 = 2,914.89/x
  3. Step 3: Cross multiply
    4,904.70x = 6,767.82 × 2,914.89
  4. Step 4: Simplify right side
    4,904.70x = 19,727,450.84
  5. Step 5: Solve for x
    x = 19,727,450.84/4,904.70
  6. Step 6: Final answer
    x = 4,022.15

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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.