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Finding the Fourth Proportional to 5,842.98, 8,743.50 and 5,451.95

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Solution

The fourth proportional to 5,842.98, 8,743.50 and 5,451.95 is: 8,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.98 : 8,743.50 = 5,451.95 : x
  2. Step 2: Convert to fraction form
    5,842.98/8,743.50 = 5,451.95/x
  3. Step 3: Cross multiply
    5,842.98x = 8,743.50 × 5,451.95
  4. Step 4: Simplify right side
    5,842.98x = 47,669,124.83
  5. Step 5: Solve for x
    x = 47,669,124.83/5,842.98
  6. Step 6: Final answer
    x = 8,158.36

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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.