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Finding the Fourth Proportional to 5,849.88, 8,068.54 and 3,861.96

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Solution

The fourth proportional to 5,849.88, 8,068.54 and 3,861.96 is: 5,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.88 : 8,068.54 = 3,861.96 : x
  2. Step 2: Convert to fraction form
    5,849.88/8,068.54 = 3,861.96/x
  3. Step 3: Cross multiply
    5,849.88x = 8,068.54 × 3,861.96
  4. Step 4: Simplify right side
    5,849.88x = 31,160,378.74
  5. Step 5: Solve for x
    x = 31,160,378.74/5,849.88
  6. Step 6: Final answer
    x = 5,326.67

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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.