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Finding the Fourth Proportional to 4,614.82, 6,926.94 and 3,378.56

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Solution

The fourth proportional to 4,614.82, 6,926.94 and 3,378.56 is: 5,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.82 : 6,926.94 = 3,378.56 : x
  2. Step 2: Convert to fraction form
    4,614.82/6,926.94 = 3,378.56/x
  3. Step 3: Cross multiply
    4,614.82x = 6,926.94 × 3,378.56
  4. Step 4: Simplify right side
    4,614.82x = 23,403,082.41
  5. Step 5: Solve for x
    x = 23,403,082.41/4,614.82
  6. Step 6: Final answer
    x = 5,071.29

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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.