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Finding the Fourth Proportional to 6,515.74, 8,991.50 and 3,861.58

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Solution

The fourth proportional to 6,515.74, 8,991.50 and 3,861.58 is: 5,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.74 : 8,991.50 = 3,861.58 : x
  2. Step 2: Convert to fraction form
    6,515.74/8,991.50 = 3,861.58/x
  3. Step 3: Cross multiply
    6,515.74x = 8,991.50 × 3,861.58
  4. Step 4: Simplify right side
    6,515.74x = 34,721,351.61
  5. Step 5: Solve for x
    x = 34,721,351.61/6,515.74
  6. Step 6: Final answer
    x = 5,328.84

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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.