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Finding the Fourth Proportional to 5,597.68, 7,725.20 and 3,706

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Solution

The fourth proportional to 5,597.68, 7,725.20 and 3,706 is: 5,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.68 : 7,725.20 = 3,706 : x
  2. Step 2: Convert to fraction form
    5,597.68/7,725.20 = 3,706/x
  3. Step 3: Cross multiply
    5,597.68x = 7,725.20 × 3,706
  4. Step 4: Simplify right side
    5,597.68x = 28,629,591.20
  5. Step 5: Solve for x
    x = 28,629,591.20/5,597.68
  6. Step 6: Final answer
    x = 5,114.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.