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Finding the Fourth Proportional to 3,422.00, 5,133 and 824.94

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Solution

The fourth proportional to 3,422.00, 5,133 and 824.94 is: 1,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.00 : 5,133 = 824.94 : x
  2. Step 2: Convert to fraction form
    3,422.00/5,133 = 824.94/x
  3. Step 3: Cross multiply
    3,422.00x = 5,133 × 824.94
  4. Step 4: Simplify right side
    3,422.00x = 4,234,417.02
  5. Step 5: Solve for x
    x = 4,234,417.02/3,422.00
  6. Step 6: Final answer
    x = 1,237.41

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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.