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Finding the Fourth Proportional to 5,168.72, 7,753.08 and 1,706.24

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Solution

The fourth proportional to 5,168.72, 7,753.08 and 1,706.24 is: 2,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.72 : 7,753.08 = 1,706.24 : x
  2. Step 2: Convert to fraction form
    5,168.72/7,753.08 = 1,706.24/x
  3. Step 3: Cross multiply
    5,168.72x = 7,753.08 × 1,706.24
  4. Step 4: Simplify right side
    5,168.72x = 13,228,615.22
  5. Step 5: Solve for x
    x = 13,228,615.22/5,168.72
  6. Step 6: Final answer
    x = 2,559.36

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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.