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Finding the Fourth Proportional to 5,586.16, 7,701.60 and 5,163.88

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Solution

The fourth proportional to 5,586.16, 7,701.60 and 5,163.88 is: 7,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.16 : 7,701.60 = 5,163.88 : x
  2. Step 2: Convert to fraction form
    5,586.16/7,701.60 = 5,163.88/x
  3. Step 3: Cross multiply
    5,586.16x = 7,701.60 × 5,163.88
  4. Step 4: Simplify right side
    5,586.16x = 39,770,138.21
  5. Step 5: Solve for x
    x = 39,770,138.21/5,586.16
  6. Step 6: Final answer
    x = 7,119.41

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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.