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Finding the Fourth Proportional to 5,763.60, 8,621.40 and 5,182.80

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Solution

The fourth proportional to 5,763.60, 8,621.40 and 5,182.80 is: 7,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.60 : 8,621.40 = 5,182.80 : x
  2. Step 2: Convert to fraction form
    5,763.60/8,621.40 = 5,182.80/x
  3. Step 3: Cross multiply
    5,763.60x = 8,621.40 × 5,182.80
  4. Step 4: Simplify right side
    5,763.60x = 44,682,991.92
  5. Step 5: Solve for x
    x = 44,682,991.92/5,763.60
  6. Step 6: Final answer
    x = 7,752.62

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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.