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Finding the Fourth Proportional to 5,763.84, 8,624.76 and 4,992.84

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Solution

The fourth proportional to 5,763.84, 8,624.76 and 4,992.84 is: 7,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.84 : 8,624.76 = 4,992.84 : x
  2. Step 2: Convert to fraction form
    5,763.84/8,624.76 = 4,992.84/x
  3. Step 3: Cross multiply
    5,763.84x = 8,624.76 × 4,992.84
  4. Step 4: Simplify right side
    5,763.84x = 43,062,046.72
  5. Step 5: Solve for x
    x = 43,062,046.72/5,763.84
  6. Step 6: Final answer
    x = 7,471.07

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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.