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Finding the Fourth Proportional to 4,814.50, 6,645.14 and 3,133

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Solution

The fourth proportional to 4,814.50, 6,645.14 and 3,133 is: 4,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.50 : 6,645.14 = 3,133 : x
  2. Step 2: Convert to fraction form
    4,814.50/6,645.14 = 3,133/x
  3. Step 3: Cross multiply
    4,814.50x = 6,645.14 × 3,133
  4. Step 4: Simplify right side
    4,814.50x = 20,819,223.62
  5. Step 5: Solve for x
    x = 20,819,223.62/4,814.50
  6. Step 6: Final answer
    x = 4,324.28

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Why These Related Problems?

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