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Finding the Fourth Proportional to 4,614.18, 6,926.29 and 4,282.49

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Solution

The fourth proportional to 4,614.18, 6,926.29 and 4,282.49 is: 6,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.18 : 6,926.29 = 4,282.49 : x
  2. Step 2: Convert to fraction form
    4,614.18/6,926.29 = 4,282.49/x
  3. Step 3: Cross multiply
    4,614.18x = 6,926.29 × 4,282.49
  4. Step 4: Simplify right side
    4,614.18x = 29,661,711.62
  5. Step 5: Solve for x
    x = 29,661,711.62/4,614.18
  6. Step 6: Final answer
    x = 6,428.38

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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.