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Finding the Fourth Proportional to 5,597.85, 7,725.42 and 3,706.14

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Solution

The fourth proportional to 5,597.85, 7,725.42 and 3,706.14 is: 5,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.85 : 7,725.42 = 3,706.14 : x
  2. Step 2: Convert to fraction form
    5,597.85/7,725.42 = 3,706.14/x
  3. Step 3: Cross multiply
    5,597.85x = 7,725.42 × 3,706.14
  4. Step 4: Simplify right side
    5,597.85x = 28,631,488.08
  5. Step 5: Solve for x
    x = 28,631,488.08/5,597.85
  6. Step 6: Final answer
    x = 5,114.73

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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.