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Finding the Fourth Proportional to 5,820, 8,735.46 and 4,529.64

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Solution

The fourth proportional to 5,820, 8,735.46 and 4,529.64 is: 6,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820 : 8,735.46 = 4,529.64 : x
  2. Step 2: Convert to fraction form
    5,820/8,735.46 = 4,529.64/x
  3. Step 3: Cross multiply
    5,820x = 8,735.46 × 4,529.64
  4. Step 4: Simplify right side
    5,820x = 39,568,489.03
  5. Step 5: Solve for x
    x = 39,568,489.03/5,820
  6. Step 6: Final answer
    x = 6,798.71

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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.