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Finding the Fourth Proportional to 4,578.68, 6,858.43 and 2,926.82

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Solution

The fourth proportional to 4,578.68, 6,858.43 and 2,926.82 is: 4,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.68 : 6,858.43 = 2,926.82 : x
  2. Step 2: Convert to fraction form
    4,578.68/6,858.43 = 2,926.82/x
  3. Step 3: Cross multiply
    4,578.68x = 6,858.43 × 2,926.82
  4. Step 4: Simplify right side
    4,578.68x = 20,073,390.09
  5. Step 5: Solve for x
    x = 20,073,390.09/4,578.68
  6. Step 6: Final answer
    x = 4,384.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.