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Finding the Fourth Proportional to 5,266.62, 7,876.64 and 4,685.68

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Solution

The fourth proportional to 5,266.62, 7,876.64 and 4,685.68 is: 7,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.62 : 7,876.64 = 4,685.68 : x
  2. Step 2: Convert to fraction form
    5,266.62/7,876.64 = 4,685.68/x
  3. Step 3: Cross multiply
    5,266.62x = 7,876.64 × 4,685.68
  4. Step 4: Simplify right side
    5,266.62x = 36,907,436.08
  5. Step 5: Solve for x
    x = 36,907,436.08/5,266.62
  6. Step 6: Final answer
    x = 7,007.80

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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.