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Finding the Fourth Proportional to 5,166.38, 7,124.37 and 4,422.80

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Solution

The fourth proportional to 5,166.38, 7,124.37 and 4,422.80 is: 6,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.38 : 7,124.37 = 4,422.80 : x
  2. Step 2: Convert to fraction form
    5,166.38/7,124.37 = 4,422.80/x
  3. Step 3: Cross multiply
    5,166.38x = 7,124.37 × 4,422.80
  4. Step 4: Simplify right side
    5,166.38x = 31,509,663.64
  5. Step 5: Solve for x
    x = 31,509,663.64/5,166.38
  6. Step 6: Final answer
    x = 6,098.98

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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.