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Finding the Fourth Proportional to 4,003.50, 6,007.68 and 1,695

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Solution

The fourth proportional to 4,003.50, 6,007.68 and 1,695 is: 2,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.50 : 6,007.68 = 1,695 : x
  2. Step 2: Convert to fraction form
    4,003.50/6,007.68 = 1,695/x
  3. Step 3: Cross multiply
    4,003.50x = 6,007.68 × 1,695
  4. Step 4: Simplify right side
    4,003.50x = 10,183,017.60
  5. Step 5: Solve for x
    x = 10,183,017.60/4,003.50
  6. Step 6: Final answer
    x = 2,543.53

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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.