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Finding the Fourth Proportional to 5,940, 8,200.62 and 4,545.36

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Solution

The fourth proportional to 5,940, 8,200.62 and 4,545.36 is: 6,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 8,200.62 = 4,545.36 : x
  2. Step 2: Convert to fraction form
    5,940/8,200.62 = 4,545.36/x
  3. Step 3: Cross multiply
    5,940x = 8,200.62 × 4,545.36
  4. Step 4: Simplify right side
    5,940x = 37,274,770.12
  5. Step 5: Solve for x
    x = 37,274,770.12/5,940
  6. Step 6: Final answer
    x = 6,275.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.