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Finding the Fourth Proportional to 5,597.96, 7,725.56 and 3,706.27

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Solution

The fourth proportional to 5,597.96, 7,725.56 and 3,706.27 is: 5,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.96 : 7,725.56 = 3,706.27 : x
  2. Step 2: Convert to fraction form
    5,597.96/7,725.56 = 3,706.27/x
  3. Step 3: Cross multiply
    5,597.96x = 7,725.56 × 3,706.27
  4. Step 4: Simplify right side
    5,597.96x = 28,632,973.42
  5. Step 5: Solve for x
    x = 28,632,973.42/5,597.96
  6. Step 6: Final answer
    x = 5,114.90

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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.