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Finding the Fourth Proportional to 5,660.27, 7,817.98 and 4,950.30

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Solution

The fourth proportional to 5,660.27, 7,817.98 and 4,950.30 is: 6,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.27 : 7,817.98 = 4,950.30 : x
  2. Step 2: Convert to fraction form
    5,660.27/7,817.98 = 4,950.30/x
  3. Step 3: Cross multiply
    5,660.27x = 7,817.98 × 4,950.30
  4. Step 4: Simplify right side
    5,660.27x = 38,701,346.39
  5. Step 5: Solve for x
    x = 38,701,346.39/5,660.27
  6. Step 6: Final answer
    x = 6,837.37

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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.