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Finding the Fourth Proportional to 5,723.64, 8,584.74 and 2,024.82

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Solution

The fourth proportional to 5,723.64, 8,584.74 and 2,024.82 is: 3,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.64 : 8,584.74 = 2,024.82 : x
  2. Step 2: Convert to fraction form
    5,723.64/8,584.74 = 2,024.82/x
  3. Step 3: Cross multiply
    5,723.64x = 8,584.74 × 2,024.82
  4. Step 4: Simplify right side
    5,723.64x = 17,382,553.25
  5. Step 5: Solve for x
    x = 17,382,553.25/5,723.64
  6. Step 6: Final answer
    x = 3,036.98

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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.