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Finding the Fourth Proportional to 4,947.62, 7,423.14 and 3,543.44

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Solution

The fourth proportional to 4,947.62, 7,423.14 and 3,543.44 is: 5,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.62 : 7,423.14 = 3,543.44 : x
  2. Step 2: Convert to fraction form
    4,947.62/7,423.14 = 3,543.44/x
  3. Step 3: Cross multiply
    4,947.62x = 7,423.14 × 3,543.44
  4. Step 4: Simplify right side
    4,947.62x = 26,303,451.20
  5. Step 5: Solve for x
    x = 26,303,451.20/4,947.62
  6. Step 6: Final answer
    x = 5,316.38

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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.