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Finding the Fourth Proportional to 5,361, 8,040.96 and 1,465.26

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Solution

The fourth proportional to 5,361, 8,040.96 and 1,465.26 is: 2,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361 : 8,040.96 = 1,465.26 : x
  2. Step 2: Convert to fraction form
    5,361/8,040.96 = 1,465.26/x
  3. Step 3: Cross multiply
    5,361x = 8,040.96 × 1,465.26
  4. Step 4: Simplify right side
    5,361x = 11,782,097.05
  5. Step 5: Solve for x
    x = 11,782,097.05/5,361
  6. Step 6: Final answer
    x = 2,197.74

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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.