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Finding the Fourth Proportional to 5,828.18, 8,744.43 and 2,709.86

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Solution

The fourth proportional to 5,828.18, 8,744.43 and 2,709.86 is: 4,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.18 : 8,744.43 = 2,709.86 : x
  2. Step 2: Convert to fraction form
    5,828.18/8,744.43 = 2,709.86/x
  3. Step 3: Cross multiply
    5,828.18x = 8,744.43 × 2,709.86
  4. Step 4: Simplify right side
    5,828.18x = 23,696,181.08
  5. Step 5: Solve for x
    x = 23,696,181.08/5,828.18
  6. Step 6: Final answer
    x = 4,065.79

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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.