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Finding the Fourth Proportional to 4,662.92, 6,995.41 and 1,543.90

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Solution

The fourth proportional to 4,662.92, 6,995.41 and 1,543.90 is: 2,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.92 : 6,995.41 = 1,543.90 : x
  2. Step 2: Convert to fraction form
    4,662.92/6,995.41 = 1,543.90/x
  3. Step 3: Cross multiply
    4,662.92x = 6,995.41 × 1,543.90
  4. Step 4: Simplify right side
    4,662.92x = 10,800,213.50
  5. Step 5: Solve for x
    x = 10,800,213.50/4,662.92
  6. Step 6: Final answer
    x = 2,316.19

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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.