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Finding the Fourth Proportional to 4,609.50, 6,913.32 and 1,321.86

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Solution

The fourth proportional to 4,609.50, 6,913.32 and 1,321.86 is: 1,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.50 : 6,913.32 = 1,321.86 : x
  2. Step 2: Convert to fraction form
    4,609.50/6,913.32 = 1,321.86/x
  3. Step 3: Cross multiply
    4,609.50x = 6,913.32 × 1,321.86
  4. Step 4: Simplify right side
    4,609.50x = 9,138,441.18
  5. Step 5: Solve for x
    x = 9,138,441.18/4,609.50
  6. Step 6: Final answer
    x = 1,982.52

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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.