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Finding the Fourth Proportional to 5,763.20, 8,639.40 and 3,126.84

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Solution

The fourth proportional to 5,763.20, 8,639.40 and 3,126.84 is: 4,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.20 : 8,639.40 = 3,126.84 : x
  2. Step 2: Convert to fraction form
    5,763.20/8,639.40 = 3,126.84/x
  3. Step 3: Cross multiply
    5,763.20x = 8,639.40 × 3,126.84
  4. Step 4: Simplify right side
    5,763.20x = 27,014,021.50
  5. Step 5: Solve for x
    x = 27,014,021.50/5,763.20
  6. Step 6: Final answer
    x = 4,687.33

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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.