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Finding the Fourth Proportional to 5,346.63, 8,019.81 and 1,450.94

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Solution

The fourth proportional to 5,346.63, 8,019.81 and 1,450.94 is: 2,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.63 : 8,019.81 = 1,450.94 : x
  2. Step 2: Convert to fraction form
    5,346.63/8,019.81 = 1,450.94/x
  3. Step 3: Cross multiply
    5,346.63x = 8,019.81 × 1,450.94
  4. Step 4: Simplify right side
    5,346.63x = 11,636,223.02
  5. Step 5: Solve for x
    x = 11,636,223.02/5,346.63
  6. Step 6: Final answer
    x = 2,176.37

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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.