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Finding the Fourth Proportional to 5,348.70, 8,022 and 1,650.36

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Solution

The fourth proportional to 5,348.70, 8,022 and 1,650.36 is: 2,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.70 : 8,022 = 1,650.36 : x
  2. Step 2: Convert to fraction form
    5,348.70/8,022 = 1,650.36/x
  3. Step 3: Cross multiply
    5,348.70x = 8,022 × 1,650.36
  4. Step 4: Simplify right side
    5,348.70x = 13,239,187.92
  5. Step 5: Solve for x
    x = 13,239,187.92/5,348.70
  6. Step 6: Final answer
    x = 2,475.22

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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.