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Finding the Fourth Proportional to 5,684.58, 8,532 and 3,608.35

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Solution

The fourth proportional to 5,684.58, 8,532 and 3,608.35 is: 5,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.58 : 8,532 = 3,608.35 : x
  2. Step 2: Convert to fraction form
    5,684.58/8,532 = 3,608.35/x
  3. Step 3: Cross multiply
    5,684.58x = 8,532 × 3,608.35
  4. Step 4: Simplify right side
    5,684.58x = 30,786,420.87
  5. Step 5: Solve for x
    x = 30,786,420.87/5,684.58
  6. Step 6: Final answer
    x = 5,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.