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Finding the Fourth Proportional to 5,825.64, 8,036.67 and 3,586.62

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Solution

The fourth proportional to 5,825.64, 8,036.67 and 3,586.62 is: 4,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.64 : 8,036.67 = 3,586.62 : x
  2. Step 2: Convert to fraction form
    5,825.64/8,036.67 = 3,586.62/x
  3. Step 3: Cross multiply
    5,825.64x = 8,036.67 × 3,586.62
  4. Step 4: Simplify right side
    5,825.64x = 28,824,481.36
  5. Step 5: Solve for x
    x = 28,824,481.36/5,825.64
  6. Step 6: Final answer
    x = 4,947.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.