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Finding the Fourth Proportional to 2,898.65, 3,997.21 and 2,578.62

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Solution

The fourth proportional to 2,898.65, 3,997.21 and 2,578.62 is: 3,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.65 : 3,997.21 = 2,578.62 : x
  2. Step 2: Convert to fraction form
    2,898.65/3,997.21 = 2,578.62/x
  3. Step 3: Cross multiply
    2,898.65x = 3,997.21 × 2,578.62
  4. Step 4: Simplify right side
    2,898.65x = 10,307,272.76
  5. Step 5: Solve for x
    x = 10,307,272.76/2,898.65
  6. Step 6: Final answer
    x = 3,555.89

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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.