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Finding the Fourth Proportional to 5,635.98, 8,454.44 and 1,938.22

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Solution

The fourth proportional to 5,635.98, 8,454.44 and 1,938.22 is: 2,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.98 : 8,454.44 = 1,938.22 : x
  2. Step 2: Convert to fraction form
    5,635.98/8,454.44 = 1,938.22/x
  3. Step 3: Cross multiply
    5,635.98x = 8,454.44 × 1,938.22
  4. Step 4: Simplify right side
    5,635.98x = 16,386,564.70
  5. Step 5: Solve for x
    x = 16,386,564.70/5,635.98
  6. Step 6: Final answer
    x = 2,907.49

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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.