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Finding the Fourth Proportional to 5,597.53, 7,724.03 and 3,207.04

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Solution

The fourth proportional to 5,597.53, 7,724.03 and 3,207.04 is: 4,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.53 : 7,724.03 = 3,207.04 : x
  2. Step 2: Convert to fraction form
    5,597.53/7,724.03 = 3,207.04/x
  3. Step 3: Cross multiply
    5,597.53x = 7,724.03 × 3,207.04
  4. Step 4: Simplify right side
    5,597.53x = 24,771,249.85
  5. Step 5: Solve for x
    x = 24,771,249.85/5,597.53
  6. Step 6: Final answer
    x = 4,425.39

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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.