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Finding the Fourth Proportional to 4,573.81, 6,311.78 and 2,584.33

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Solution

The fourth proportional to 4,573.81, 6,311.78 and 2,584.33 is: 3,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.81 : 6,311.78 = 2,584.33 : x
  2. Step 2: Convert to fraction form
    4,573.81/6,311.78 = 2,584.33/x
  3. Step 3: Cross multiply
    4,573.81x = 6,311.78 × 2,584.33
  4. Step 4: Simplify right side
    4,573.81x = 16,311,696.34
  5. Step 5: Solve for x
    x = 16,311,696.34/4,573.81
  6. Step 6: Final answer
    x = 3,566.32

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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.