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Finding the Fourth Proportional to 4,873.92, 7,309.32 and 1,586.22

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Solution

The fourth proportional to 4,873.92, 7,309.32 and 1,586.22 is: 2,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.92 : 7,309.32 = 1,586.22 : x
  2. Step 2: Convert to fraction form
    4,873.92/7,309.32 = 1,586.22/x
  3. Step 3: Cross multiply
    4,873.92x = 7,309.32 × 1,586.22
  4. Step 4: Simplify right side
    4,873.92x = 11,594,189.57
  5. Step 5: Solve for x
    x = 11,594,189.57/4,873.92
  6. Step 6: Final answer
    x = 2,378.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.