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Finding the Fourth Proportional to 5,926.99, 8,178.69 and 3,798.76

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Solution

The fourth proportional to 5,926.99, 8,178.69 and 3,798.76 is: 5,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.99 : 8,178.69 = 3,798.76 : x
  2. Step 2: Convert to fraction form
    5,926.99/8,178.69 = 3,798.76/x
  3. Step 3: Cross multiply
    5,926.99x = 8,178.69 × 3,798.76
  4. Step 4: Simplify right side
    5,926.99x = 31,068,880.42
  5. Step 5: Solve for x
    x = 31,068,880.42/5,926.99
  6. Step 6: Final answer
    x = 5,241.93

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