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Finding the Fourth Proportional to 5,012.70, 6,914.85 and 4,069.56

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Solution

The fourth proportional to 5,012.70, 6,914.85 and 4,069.56 is: 5,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.70 : 6,914.85 = 4,069.56 : x
  2. Step 2: Convert to fraction form
    5,012.70/6,914.85 = 4,069.56/x
  3. Step 3: Cross multiply
    5,012.70x = 6,914.85 × 4,069.56
  4. Step 4: Simplify right side
    5,012.70x = 28,140,396.97
  5. Step 5: Solve for x
    x = 28,140,396.97/5,012.70
  6. Step 6: Final answer
    x = 5,613.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.