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Finding the Fourth Proportional to 5,992.74, 8,978.74 and 5,384.02

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Solution

The fourth proportional to 5,992.74, 8,978.74 and 5,384.02 is: 8,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.74 : 8,978.74 = 5,384.02 : x
  2. Step 2: Convert to fraction form
    5,992.74/8,978.74 = 5,384.02/x
  3. Step 3: Cross multiply
    5,992.74x = 8,978.74 × 5,384.02
  4. Step 4: Simplify right side
    5,992.74x = 48,341,715.73
  5. Step 5: Solve for x
    x = 48,341,715.73/5,992.74
  6. Step 6: Final answer
    x = 8,066.71

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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.