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Finding the Fourth Proportional to 5,768.96, 8,653.76 and 1,874.56

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Solution

The fourth proportional to 5,768.96, 8,653.76 and 1,874.56 is: 2,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.96 : 8,653.76 = 1,874.56 : x
  2. Step 2: Convert to fraction form
    5,768.96/8,653.76 = 1,874.56/x
  3. Step 3: Cross multiply
    5,768.96x = 8,653.76 × 1,874.56
  4. Step 4: Simplify right side
    5,768.96x = 16,221,992.35
  5. Step 5: Solve for x
    x = 16,221,992.35/5,768.96
  6. Step 6: Final answer
    x = 2,811.94

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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.