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Finding the Fourth Proportional to 3,578.42, 5,368.50 and 2,891.31

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Solution

The fourth proportional to 3,578.42, 5,368.50 and 2,891.31 is: 4,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.42 : 5,368.50 = 2,891.31 : x
  2. Step 2: Convert to fraction form
    3,578.42/5,368.50 = 2,891.31/x
  3. Step 3: Cross multiply
    3,578.42x = 5,368.50 × 2,891.31
  4. Step 4: Simplify right side
    3,578.42x = 15,521,997.74
  5. Step 5: Solve for x
    x = 15,521,997.74/3,578.42
  6. Step 6: Final answer
    x = 4,337.67

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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.