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Finding the Fourth Proportional to 5,926.84, 8,178.84 and 3,274.09

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Solution

The fourth proportional to 5,926.84, 8,178.84 and 3,274.09 is: 4,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.84 : 8,178.84 = 3,274.09 : x
  2. Step 2: Convert to fraction form
    5,926.84/8,178.84 = 3,274.09/x
  3. Step 3: Cross multiply
    5,926.84x = 8,178.84 × 3,274.09
  4. Step 4: Simplify right side
    5,926.84x = 26,778,237.81
  5. Step 5: Solve for x
    x = 26,778,237.81/5,926.84
  6. Step 6: Final answer
    x = 4,518.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.