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Finding the Fourth Proportional to 4,384.89, 6,578.94 and 1,613.37

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Solution

The fourth proportional to 4,384.89, 6,578.94 and 1,613.37 is: 2,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.89 : 6,578.94 = 1,613.37 : x
  2. Step 2: Convert to fraction form
    4,384.89/6,578.94 = 1,613.37/x
  3. Step 3: Cross multiply
    4,384.89x = 6,578.94 × 1,613.37
  4. Step 4: Simplify right side
    4,384.89x = 10,614,264.43
  5. Step 5: Solve for x
    x = 10,614,264.43/4,384.89
  6. Step 6: Final answer
    x = 2,420.65

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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.