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Finding the Fourth Proportional to 5,706, 8,559.36 and 2,008.80

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Solution

The fourth proportional to 5,706, 8,559.36 and 2,008.80 is: 3,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 8,559.36 = 2,008.80 : x
  2. Step 2: Convert to fraction form
    5,706/8,559.36 = 2,008.80/x
  3. Step 3: Cross multiply
    5,706x = 8,559.36 × 2,008.80
  4. Step 4: Simplify right side
    5,706x = 17,194,042.37
  5. Step 5: Solve for x
    x = 17,194,042.37/5,706
  6. Step 6: Final answer
    x = 3,013.33

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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.