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Finding the Fourth Proportional to 5,841.98, 8,742 and 5,450.95

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Solution

The fourth proportional to 5,841.98, 8,742 and 5,450.95 is: 8,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.98 : 8,742 = 5,450.95 : x
  2. Step 2: Convert to fraction form
    5,841.98/8,742 = 5,450.95/x
  3. Step 3: Cross multiply
    5,841.98x = 8,742 × 5,450.95
  4. Step 4: Simplify right side
    5,841.98x = 47,652,204.90
  5. Step 5: Solve for x
    x = 47,652,204.90/5,841.98
  6. Step 6: Final answer
    x = 8,156.86

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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.