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Finding the Fourth Proportional to 5,163.66, 7,740.63 and 2,564.10

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Solution

The fourth proportional to 5,163.66, 7,740.63 and 2,564.10 is: 3,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.66 : 7,740.63 = 2,564.10 : x
  2. Step 2: Convert to fraction form
    5,163.66/7,740.63 = 2,564.10/x
  3. Step 3: Cross multiply
    5,163.66x = 7,740.63 × 2,564.10
  4. Step 4: Simplify right side
    5,163.66x = 19,847,749.38
  5. Step 5: Solve for x
    x = 19,847,749.38/5,163.66
  6. Step 6: Final answer
    x = 3,843.74

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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.