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Finding the Fourth Proportional to 4,973.65, 6,864 and 2,735.62

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Solution

The fourth proportional to 4,973.65, 6,864 and 2,735.62 is: 3,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.65 : 6,864 = 2,735.62 : x
  2. Step 2: Convert to fraction form
    4,973.65/6,864 = 2,735.62/x
  3. Step 3: Cross multiply
    4,973.65x = 6,864 × 2,735.62
  4. Step 4: Simplify right side
    4,973.65x = 18,777,295.68
  5. Step 5: Solve for x
    x = 18,777,295.68/4,973.65
  6. Step 6: Final answer
    x = 3,775.36

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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.