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Finding the Fourth Proportional to 5,820.84, 8,719.74 and 5,091.24

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Solution

The fourth proportional to 5,820.84, 8,719.74 and 5,091.24 is: 7,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.84 : 8,719.74 = 5,091.24 : x
  2. Step 2: Convert to fraction form
    5,820.84/8,719.74 = 5,091.24/x
  3. Step 3: Cross multiply
    5,820.84x = 8,719.74 × 5,091.24
  4. Step 4: Simplify right side
    5,820.84x = 44,394,289.08
  5. Step 5: Solve for x
    x = 44,394,289.08/5,820.84
  6. Step 6: Final answer
    x = 7,626.78

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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.