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Finding the Fourth Proportional to 5,137.49, 7,706.58 and 1,805.34

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Solution

The fourth proportional to 5,137.49, 7,706.58 and 1,805.34 is: 2,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.49 : 7,706.58 = 1,805.34 : x
  2. Step 2: Convert to fraction form
    5,137.49/7,706.58 = 1,805.34/x
  3. Step 3: Cross multiply
    5,137.49x = 7,706.58 × 1,805.34
  4. Step 4: Simplify right side
    5,137.49x = 13,912,975.01
  5. Step 5: Solve for x
    x = 13,912,975.01/5,137.49
  6. Step 6: Final answer
    x = 2,708.13

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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.