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Finding the Fourth Proportional to 5,488.36, 8,222.94 and 4,569.80

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Solution

The fourth proportional to 5,488.36, 8,222.94 and 4,569.80 is: 6,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.36 : 8,222.94 = 4,569.80 : x
  2. Step 2: Convert to fraction form
    5,488.36/8,222.94 = 4,569.80/x
  3. Step 3: Cross multiply
    5,488.36x = 8,222.94 × 4,569.80
  4. Step 4: Simplify right side
    5,488.36x = 37,577,191.21
  5. Step 5: Solve for x
    x = 37,577,191.21/5,488.36
  6. Step 6: Final answer
    x = 6,846.71

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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.