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Finding the Fourth Proportional to 5,807.68, 8,722.73 and 4,976.62

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Solution

The fourth proportional to 5,807.68, 8,722.73 and 4,976.62 is: 7,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.68 : 8,722.73 = 4,976.62 : x
  2. Step 2: Convert to fraction form
    5,807.68/8,722.73 = 4,976.62/x
  3. Step 3: Cross multiply
    5,807.68x = 8,722.73 × 4,976.62
  4. Step 4: Simplify right side
    5,807.68x = 43,409,712.57
  5. Step 5: Solve for x
    x = 43,409,712.57/5,807.68
  6. Step 6: Final answer
    x = 7,474.54

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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.